100979228064 has 384 divisors, whose sum is σ = 332423626752. Its totient is φ = 26367344640.

The previous prime is 100979228059. The next prime is 100979228089. The reversal of 100979228064 is 460822979001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29637049 + ... + 29640455.

It is an arithmetic number, because the mean of its divisors is an integer number (865686528).

Almost surely, 2^100979228064 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 100979228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166211813376).

100979228064 is an abundant number, since it is smaller than the sum of its proper divisors (231444398688).

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

100979228064 is a wasteful number, since it uses less digits than its factorization.

100979228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 100979228064 in words is "one hundred billion, nine hundred seventy-nine million, two hundred twenty-eight thousand, sixty-four".