100075500 has 240 divisors, whose sum is σ = 374197824. Its totient is φ = 22809600.

The previous prime is 100075477. The next prime is 100075511. The reversal of 100075500 is 5570001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 283324 + ... + 283676.

Almost surely, 2^100075500 is an apocalyptic number.

100075500 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 100075500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187098912).

100075500 is an abundant number, since it is smaller than the sum of its proper divisors (274122324).

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

100075500 is a wasteful number, since it uses less digits than its factorization.

100075500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 100075500 is about 10003.7742877376. The cubic root of 100075500 is about 464.2756672946.

The spelling of 100075500 in words is "one hundred million, seventy-five thousand, five hundred".