100687040 has 56 divisors (see below), whose sum is σ = 243870480. Its totient is φ = 39584768.

The previous prime is 100687033. The next prime is 100687063. The reversal of 100687040 is 40786001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16214 + ... + 21546.

It is an arithmetic number, because the mean of its divisors is an integer number (4354830).

Almost surely, 2^100687040 is an apocalyptic number.

100687040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121935240).

100687040 is an abundant number, since it is smaller than the sum of its proper divisors (143183440).

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

100687040 is an equidigital number, since it uses as much as digits as its factorization.

100687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 100687040 is about 10034.2931988257. The cubic root of 100687040 is about 465.2194439624.

The spelling of 100687040 in words is "one hundred million, six hundred eighty-seven thousand, forty".