100642815 has 72 divisors (see below), whose sum is σ = 218600928. Its totient is φ = 42456960.

The previous prime is 100642793. The next prime is 100642819. The reversal of 100642815 is 518246001.

100642815 is a `hidden beast` number, since 1 + 0 + 0 + 642 + 8 + 15 = 666.

It is not a de Polignac number, because 100642815 - 2⁵ = 100642783 is a prime.

It is a super-2 number, since 2×100642815² = 20257952422248450, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100642819) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26910 + ... + 30420.

It is an arithmetic number, because the mean of its divisors is an integer number (3036124).

Almost surely, 2^100642815 is an apocalyptic number.

100642815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100642815 is an abundant number, since it is smaller than the sum of its proper divisors (117958113).

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

100642815 is a wasteful number, since it uses less digits than its factorization.

100642815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100642815 is about 10032.0892639569. The cubic root of 100642815 is about 465.1513208522.

Adding to 100642815 its reverse (518246001), we get a palindrome (618888816).

The spelling of 100642815 in words is "one hundred million, six hundred forty-two thousand, eight hundred fifteen".