100169193072 has 80 divisors (see below), whose sum is σ = 279111698208. Its totient is φ = 30773084160.

The previous prime is 100169193043. The next prime is 100169193073. The reversal of 100169193072 is 270391961001.

It is a happy number.

It is a super-2 number, since 2×100169193072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 100169193072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100169193073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274768 + ... + 525200.

Almost surely, 2^100169193072 is an apocalyptic number.

100169193072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100169193072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139555849104).

100169193072 is an abundant number, since it is smaller than the sum of its proper divisors (178942505136).

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

100169193072 is a wasteful number, since it uses less digits than its factorization.

100169193072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251098 (or 251092 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 100169193072 in words is "one hundred billion, one hundred sixty-nine million, one hundred ninety-three thousand, seventy-two".