100876842 has 48 divisors (see below), whose sum is σ = 239148000. Its totient is φ = 30477600.

The previous prime is 100876817. The next prime is 100876847. The reversal of 100876842 is 248678001.

It is a super-2 number, since 2×100876842² = 20352274503785928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100876797 and 100876806.

It is not an unprimeable number, because it can be changed into a prime (100876847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98292 + ... + 99312.

It is an arithmetic number, because the mean of its divisors is an integer number (4982250).

Almost surely, 2^100876842 is an apocalyptic number.

100876842 is an abundant number, since it is smaller than the sum of its proper divisors (138271158).

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

100876842 is a wasteful number, since it uses less digits than its factorization.

100876842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 100876842 is about 10043.7464125694. The cubic root of 100876842 is about 465.5115840277.

The spelling of 100876842 in words is "one hundred million, eight hundred seventy-six thousand, eight hundred forty-two".