100638370224 has 240 divisors, whose sum is σ = 333201276928. Its totient is φ = 27755094528.

The previous prime is 100638370219. The next prime is 100638370237. The reversal of 100638370224 is 422073836001.

It is a happy number.

100638370224 is a `hidden beast` number, since 1 + 0 + 0 + 63 + 8 + 370 + 224 = 666.

It is a super-2 number, since 2×100638370224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4725969 + ... + 4747215.

Almost surely, 2^100638370224 is an apocalyptic number.

100638370224 is a gapful number since it is divisible by the number (14) 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 100638370224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166600638464).

100638370224 is an abundant number, since it is smaller than the sum of its proper divisors (232562906704).

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

100638370224 is a wasteful number, since it uses less digits than its factorization.

100638370224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21432 (or 21423 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 100638370224 in words is "one hundred billion, six hundred thirty-eight million, three hundred seventy thousand, two hundred twenty-four".