100940874192 has 280 divisors, whose sum is σ = 305630081280. Its totient is φ = 32244894720.

The previous prime is 100940874187. The next prime is 100940874247. The reversal of 100940874192 is 291478049001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38688184 + ... + 38690792.

Almost surely, 2^100940874192 is an apocalyptic number.

100940874192 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 100940874192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152815040640).

100940874192 is an abundant number, since it is smaller than the sum of its proper divisors (204689207088).

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

100940874192 is a wasteful number, since it uses less digits than its factorization.

100940874192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 100940874192 in words is "one hundred billion, nine hundred forty million, eight hundred seventy-four thousand, one hundred ninety-two".