100074900 has 144 divisors (see below), whose sum is σ = 309632960. Its totient is φ = 24883200.

The previous prime is 100074883. The next prime is 100074901. The reversal of 100074900 is 9470001.

It is a super-2 number, since 2×100074900² = 20029971220020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100074901) 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, 552810 + ... + 552990.

Almost surely, 2^100074900 is an apocalyptic number.

100074900 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 100074900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154816480).

100074900 is an abundant number, since it is smaller than the sum of its proper divisors (209558060).

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

100074900 is a wasteful number, since it uses less digits than its factorization.

100074900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 100074900 is about 10003.7442990112. The cubic root of 100074900 is about 464.2747394419.

The spelling of 100074900 in words is "one hundred million, seventy-four thousand, nine hundred".