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106010550100 = 225271311649511
BaseRepresentation
bin110001010111010111…
…0001001111101010100
3101010122001112220221101
41202232232021331110
53214102200100400
6120411153555444
710442016544120
oct1425656117524
9333561486841
10106010550100
1140a60212384
1218666875b84
139cc5b30570
1451b9418580
152b56c5856a
hex18aeb89f54

106010550100 has 72 divisors (see below), whose sum is σ = 283129739648. Its totient is φ = 33550588800.

The previous prime is 106010550097. The next prime is 106010550109. The reversal of 106010550100 is 1055010601.

It is a super-2 number, since 2×1060105501002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010550109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5815656 + ... + 5833855.

Almost surely, 2106010550100 is an apocalyptic number.

106010550100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106010550100 is an abundant number, since it is smaller than the sum of its proper divisors (177119189548).

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

106010550100 is a wasteful number, since it uses less digits than its factorization.

106010550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11649545 (or 11649538 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 106010550100 its reverse (1055010601), we get a palindrome (107065560701).

The spelling of 106010550100 in words is "one hundred six billion, ten million, five hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11649511 23299022 46598044 58247555 81546577 116495110 151443643 163093154 232990220 291237775 302887286 326186308 407732885 582475550 605774572 757218215 815465770 1060105501 1164951100 1514436430 1630931540 2038664425 2120211002 3028872860 3786091075 4077328850 4240422004 5300527505 7572182150 8154657700 10601055010 15144364300 21202110020 26502637525 53005275050 106010550100