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106501515150 = 23525369119387
BaseRepresentation
bin110001100101111111…
…1000010011110001110
3101011220021101112101010
41203023333002132032
53221103341441100
6120532013030050
710460130641112
oct1431377023616
9334807345333
10106501515150
1141192368718
1218783185326
13a073771124
1452246db742
152b84dd9750
hex18cbfc278e

106501515150 has 96 divisors (see below), whose sum is σ = 269510571648. Its totient is φ = 27822787200.

The previous prime is 106501515139. The next prime is 106501515161. The reversal of 106501515150 is 51515105601.

It is an interprime number because it is at equal distance from previous prime (106501515139) and next prime (106501515161).

It is a super-2 number, since 2×1065015151502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5483757 + ... + 5503143.

It is an arithmetic number, because the mean of its divisors is an integer number (2807401788).

Almost surely, 2106501515150 is an apocalyptic number.

106501515150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106501515150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134755285824).

106501515150 is an abundant number, since it is smaller than the sum of its proper divisors (163009056498).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106501515150 is a wasteful number, since it uses less digits than its factorization.

106501515150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 106501515150 in words is "one hundred six billion, five hundred one million, five hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 691 795 1325 1382 1590 2073 2650 3455 3975 4146 6910 7950 10365 17275 19387 20730 34550 36623 38774 51825 58161 73246 96935 103650 109869 116322 183115 193870 219738 290805 366230 484675 549345 581610 915575 969350 1027511 1098690 1454025 1831150 2055022 2746725 2908050 3082533 5137555 5493450 6165066 10275110 13396417 15412665 25687775 26792834 30825330 40189251 51375550 66982085 77063325 80378502 133964170 154126650 200946255 334910425 401892510 669820850 710010101 1004731275 1420020202 2009462550 2130030303 3550050505 4260060606 7100101010 10650151515 17750252525 21300303030 35500505050 53250757575 106501515150