100090540 has 48 divisors (see below), whose sum is σ = 229983264. Its totient is φ = 36288000.

The previous prime is 100090477. The next prime is 100090583. The reversal of 100090540 is 45090001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131842 + ... + 132598.

It is an arithmetic number, because the mean of its divisors is an integer number (4791318).

Almost surely, 2^100090540 is an apocalyptic number.

100090540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100090540 is an abundant number, since it is smaller than the sum of its proper divisors (129892724).

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

100090540 is a wasteful number, since it uses less digits than its factorization.

100090540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100090540 is about 10004.5259757772. The cubic root of 100090540 is about 464.2989242564.

The spelling of 100090540 in words is "one hundred million, ninety thousand, five hundred forty".