100392145920 has 528 divisors, whose sum is σ = 391782044160. Its totient is φ = 23548723200.

The previous prime is 100392145901. The next prime is 100392145921. The reversal of 100392145920 is 29541293001.

100392145920 is a `hidden beast` number, since 10 + 0 + 39 + 21 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100392145921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15710086 + ... + 15716474.

Almost surely, 2^100392145920 is an apocalyptic number.

100392145920 is a gapful number since it is divisible by the number (10) 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 100392145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195891022080).

100392145920 is an abundant number, since it is smaller than the sum of its proper divisors (291389898240).

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

100392145920 is a wasteful number, since it uses less digits than its factorization.

100392145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100392145920 in words is "one hundred billion, three hundred ninety-two million, one hundred forty-five thousand, nine hundred twenty".