100940256000 has 504 divisors, whose sum is σ = 377096856864. Its totient is φ = 26911180800.

The previous prime is 100940255993. The next prime is 100940256013. The reversal of 100940256000 is 652049001.

100940256000 is a `hidden beast` number, since 10 + 0 + 9 + 40 + 2 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23325837 + ... + 23330163.

Almost surely, 2^100940256000 is an apocalyptic number.

100940256000 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 100940256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188548428432).

100940256000 is an abundant number, since it is smaller than the sum of its proper divisors (276156600864).

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

100940256000 is an frugal number, since it uses more digits than its factorization.

100940256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4376 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 100940256000 in words is "one hundred billion, nine hundred forty million, two hundred fifty-six thousand".