100420636356 has 192 divisors, whose sum is σ = 278014464000. Its totient is φ = 31293440640.

The previous prime is 100420636343. The next prime is 100420636387. The reversal of 100420636356 is 653636024001.

100420636356 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 0 + 6 + 3 + 635 + 6 = 666.

It is a super-2 number, since 2×100420636356² (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 a self number, because there is not a number n which added to its sum of digits gives 100420636356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12376741 + ... + 12384851.

It is an arithmetic number, because the mean of its divisors is an integer number (1447992000).

Almost surely, 2^100420636356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420636356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007232000).

100420636356 is an abundant number, since it is smaller than the sum of its proper divisors (177593827644).

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

100420636356 is a wasteful number, since it uses less digits than its factorization.

100420636356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8271 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 100420636356 in words is "one hundred billion, four hundred twenty million, six hundred thirty-six thousand, three hundred fifty-six".