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106151015550 = 23525326714999
BaseRepresentation
bin110001011011100010…
…1111111010001111110
3101010222211212022022110
41202313011333101332
53214344124444200
6120433132354450
710445343513306
oct1426705772176
9333884768273
10106151015550
1141022532128
12186a5915a26
13a018c71708
1451cdd40606
152b64252b50
hex18b717f47e

106151015550 has 96 divisors (see below), whose sum is σ = 268375680000. Its totient is φ = 27756892800.

The previous prime is 106151015549. The next prime is 106151015591. The reversal of 106151015550 is 55510151601.

It is a super-2 number, since 2×1061510155502 (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21231951 + ... + 21236949.

It is an arithmetic number, because the mean of its divisors is an integer number (2795580000).

Almost surely, 2106151015550 is an apocalyptic number.

106151015550 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 106151015550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134187840000).

106151015550 is an abundant number, since it is smaller than the sum of its proper divisors (162224664450).

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

106151015550 is a wasteful number, since it uses less digits than its factorization.

106151015550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738 (or 7733 counting only the distinct ones).

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

The spelling of 106151015550 in words is "one hundred six billion, one hundred fifty-one million, fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 2650 2671 3975 4999 5342 7950 8013 9998 13355 14997 16026 24995 26710 29994 40065 49990 66775 74985 80130 124975 133550 141563 149970 200325 249950 264947 283126 374925 400650 424689 529894 707815 749850 794841 849378 1324735 1415630 1589682 2123445 2649470 3539075 3974205 4246890 6623675 7078150 7948410 10617225 13247350 13352329 19871025 21234450 26704658 39742050 40056987 66761645 80113974 133523290 200284935 333808225 400569870 667616450 707673437 1001424675 1415346874 2002849350 2123020311 3538367185 4246040622 7076734370 10615101555 17691835925 21230203110 35383671850 53075507775 106151015550