100966978656 has 192 divisors, whose sum is σ = 298547847360. Its totient is φ = 33194188800.

The previous prime is 100966978603. The next prime is 100966978669. The reversal of 100966978656 is 656879669001.

It is a junction number, because it is equal to n+sod(n) for n = 100966978593 and 100966978602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24170040 + ... + 24174216.

It is an arithmetic number, because the mean of its divisors is an integer number (1554936705).

Almost surely, 2^100966978656 is an apocalyptic number.

100966978656 is a gapful number since it is divisible by the number (16) 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 100966978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149273923680).

100966978656 is an abundant number, since it is smaller than the sum of its proper divisors (197580868704).

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

100966978656 is a wasteful number, since it uses less digits than its factorization.

100966978656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 100966978656 in words is "one hundred billion, nine hundred sixty-six million, nine hundred seventy-eight thousand, six hundred fifty-six".