100578540 has 48 divisors (see below), whose sum is σ = 293868288. Its totient is φ = 25654464.

The previous prime is 100578521. The next prime is 100578553. The reversal of 100578540 is 45875001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100578498 and 100578507.

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, 35062 + ... + 37821.

It is an arithmetic number, because the mean of its divisors is an integer number (6122256).

Almost surely, 2^100578540 is an apocalyptic number.

100578540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100578540 is an abundant number, since it is smaller than the sum of its proper divisors (193289748).

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

100578540 is a wasteful number, since it uses less digits than its factorization.

100578540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72918 (or 72916 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 100578540 is about 10028.8852820241. The cubic root of 100578540 is about 465.0522776235.

The spelling of 100578540 in words is "one hundred million, five hundred seventy-eight thousand, five hundred forty".