100100165906032 has 320 divisors, whose sum is σ = 228732874444800. Its totient is φ = 42106992721920.

The previous prime is 100100165906017. The next prime is 100100165906033. The reversal of 100100165906032 is 230609561001001.

It is a super-2 number, since 2×100100165906032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100165906033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3919796368 + ... + 3919821904.

It is an arithmetic number, because the mean of its divisors is an integer number (714790232640).

Almost surely, 2^{100100165906032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100165906032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114366437222400).

100100165906032 is an abundant number, since it is smaller than the sum of its proper divisors (128632708538768).

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

100100165906032 is a wasteful number, since it uses less digits than its factorization.

100100165906032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26224 (or 26218 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 100100165906032 in words is "one hundred trillion, one hundred billion, one hundred sixty-five million, nine hundred six thousand, thirty-two".