100074080 has 48 divisors (see below), whose sum is σ = 237504960. Its totient is φ = 39846912.

The previous prime is 100074061. The next prime is 100074097. The reversal of 100074080 is 80470001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36932 + ... + 39548.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^100074080 is an apocalyptic number.

100074080 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 100074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118752480).

100074080 is an abundant number, since it is smaller than the sum of its proper divisors (137430880).

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

100074080 is a wasteful number, since it uses less digits than its factorization.

100074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 100074080 is about 10003.7033142732. The cubic root of 100074080 is about 464.2734713706.

The spelling of 100074080 in words is "one hundred million, seventy-four thousand, eighty".