100075590 has 48 divisors (see below), whose sum is σ = 263351088. Its totient is φ = 26363328.

The previous prime is 100075589. The next prime is 100075609. The reversal of 100075590 is 95570001.

100075590 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 75 + 590 = 666.

It is a super-3 number, since 3×100075590³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772 + ... + 14168.

It is an arithmetic number, because the mean of its divisors is an integer number (5486481).

Almost surely, 2^100075590 is an apocalyptic number.

100075590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100075590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131675544).

100075590 is an abundant number, since it is smaller than the sum of its proper divisors (163275498).

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

100075590 is a wasteful number, since it uses less digits than its factorization.

100075590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13493 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 100075590 is about 10003.7787860388. The cubic root of 100075590 is about 464.2758064721.

The spelling of 100075590 in words is "one hundred million, seventy-five thousand, five hundred ninety".