100744080 has 80 divisors (see below), whose sum is σ = 328758720. Its totient is φ = 25449984.

The previous prime is 100744073. The next prime is 100744087. The reversal of 100744080 is 80447001.

It is an interprime number because it is at equal distance from previous prime (100744073) and next prime (100744087).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100744080.

It is not an unprimeable number, because it can be changed into a prime (100744087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6487 + ... + 15606.

It is an arithmetic number, because the mean of its divisors is an integer number (4109484).

Almost surely, 2^100744080 is an apocalyptic number.

100744080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100744080 is an abundant number, since it is smaller than the sum of its proper divisors (228014640).

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

100744080 is a wasteful number, since it uses less digits than its factorization.

100744080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22128 (or 22122 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 100744080 is about 10037.1350494053. The cubic root of 100744080 is about 465.3072775362.

The spelling of 100744080 in words is "one hundred million, seven hundred forty-four thousand, eighty".