100813724 has 24 divisors (see below), whose sum is σ = 195622896. Its totient is φ = 45072000.

The previous prime is 100813721. The next prime is 100813733. The reversal of 100813724 is 427318001.

It is a junction number, because it is equal to n+sod(n) for n = 100813693 and 100813702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100813721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16097 + ... + 21464.

It is an arithmetic number, because the mean of its divisors is an integer number (8150954).

Almost surely, 2^100813724 is an apocalyptic number.

It is an amenable number.

100813724 is a deficient number, since it is larger than the sum of its proper divisors (94809172).

100813724 is a wasteful number, since it uses less digits than its factorization.

100813724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37637 (or 37635 counting only the distinct ones).

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

The square root of 100813724 is about 10040.6037667065. The cubic root of 100813724 is about 465.4144745565.

The spelling of 100813724 in words is "one hundred million, eight hundred thirteen thousand, seven hundred twenty-four".