100973400 has 96 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 24476800.

The previous prime is 100973399. The next prime is 100973413. The reversal of 100973400 is 4379001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1050 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2^100973400 is an apocalyptic number.

100973400 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 100973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

100973400 is an abundant number, since it is smaller than the sum of its proper divisors (240522600).

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

100973400 is a wasteful number, since it uses less digits than its factorization.

100973400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 100973400 is about 10048.5521345117. The cubic root of 100973400 is about 465.6600638730.

The spelling of 100973400 in words is "one hundred million, nine hundred seventy-three thousand, four hundred".