100540032 has 32 divisors (see below), whose sum is σ = 267060480. Its totient is φ = 33513216.

The previous prime is 100540031. The next prime is 100540049. The reversal of 100540032 is 230045001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×100540032² = 20216596069122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100539993 and 100540020.

It is not an unprimeable number, because it can be changed into a prime (100540031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130528 + ... + 131295.

It is an arithmetic number, because the mean of its divisors is an integer number (8345640).

Almost surely, 2^100540032 is an apocalyptic number.

100540032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100540032 is an abundant number, since it is smaller than the sum of its proper divisors (166520448).

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

100540032 is an equidigital number, since it uses as much as digits as its factorization.

100540032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261840 (or 261828 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100540032 is about 10026.9652437814. The cubic root of 100540032 is about 464.9929193048.

Adding to 100540032 its reverse (230045001), we get a palindrome (330585033).

The spelling of 100540032 in words is "one hundred million, five hundred forty thousand, thirty-two".