100967012400 has 120 divisors (see below), whose sum is σ = 333864377344. Its totient is φ = 26055993600.

The previous prime is 100967012371. The next prime is 100967012423. The reversal of 100967012400 is 4210769001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319884 + ... + 1394283.

Almost surely, 2^100967012400 is an apocalyptic number.

100967012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100967012400 is an abundant number, since it is smaller than the sum of its proper divisors (232897364944).

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

100967012400 is a wasteful number, since it uses less digits than its factorization.

100967012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714219 (or 2714208 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 100967012400 in words is "one hundred billion, nine hundred sixty-seven million, twelve thousand, four hundred".