16165651000100 has 108 divisors (see below), whose sum is σ = 40809165835284. Its totient is φ = 5542176971520.

The previous prime is 16165651000091. The next prime is 16165651000123. The reversal of 16165651000100 is 100015656161.

It can be written as a sum of positive squares in 6 ways, for example, as 38872854244 + 16126778145856 = 197162^2 + 4015816^2 .

It is a super-2 number, since 2×16165651000100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90134114 + ... + 90313286.

It is an arithmetic number, because the mean of its divisors is an integer number (377862646623).

Almost surely, 2^{16165651000100} is an apocalyptic number.

16165651000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16165651000100 is an abundant number, since it is smaller than the sum of its proper divisors (24643514835184).

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

16165651000100 is a wasteful number, since it uses less digits than its factorization.

16165651000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197614 (or 197600 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

Adding to 16165651000100 its reverse (100015656161), we get a palindrome (16265666656261).

The spelling of 16165651000100 in words is "sixteen trillion, one hundred sixty-five billion, six hundred fifty-one million, one hundred", and thus it is an aban number.