100664954880 has 832 divisors, whose sum is σ = 394551951360. Its totient is φ = 21403533312.

The previous prime is 100664954849. The next prime is 100664954881. The reversal of 100664954880 is 88459466001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100664954881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792637377 + ... + 792637503.

Almost surely, 2^100664954880 is an apocalyptic number.

100664954880 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 100664954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197275975680).

100664954880 is an abundant number, since it is smaller than the sum of its proper divisors (293886996480).

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

100664954880 is a wasteful number, since it uses less digits than its factorization.

100664954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 100664954880 in words is "one hundred billion, six hundred sixty-four million, nine hundred fifty-four thousand, eight hundred eighty".