100642356100 has 216 divisors, whose sum is σ = 259031358432. Its totient is φ = 33645081600.

The previous prime is 100642356011. The next prime is 100642356103. The reversal of 100642356100 is 1653246001.

It is not an unprimeable number, because it can be changed into a prime (100642356103) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 52608744 + ... + 52610656.

It is an arithmetic number, because the mean of its divisors is an integer number (1199219252).

Almost surely, 2^100642356100 is an apocalyptic number.

100642356100 is a gapful number since it is divisible by the number (10) 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 100642356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129515679216).

100642356100 is an abundant number, since it is smaller than the sum of its proper divisors (158389002332).

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

100642356100 is a wasteful number, since it uses less digits than its factorization.

100642356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 100642356100 in words is "one hundred billion, six hundred forty-two million, three hundred fifty-six thousand, one hundred".