100832040 has 80 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 26887680.

The previous prime is 100832021. The next prime is 100832041. The reversal of 100832040 is 40238001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100520676 + 311364 = 10026^2 + 558^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (100832041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12321 + ... + 18800.

Almost surely, 2^100832040 is an apocalyptic number.

100832040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100832040 is an abundant number, since it is smaller than the sum of its proper divisors (238086540).

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

100832040 is a wasteful number, since it uses less digits than its factorization.

100832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31144 (or 31131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100832040 is about 10041.5158218269. The cubic root of 100832040 is about 465.4426586005.

The spelling of 100832040 in words is "one hundred million, eight hundred thirty-two thousand, forty".