100985663520 has 384 divisors, whose sum is σ = 404916019200. Its totient is φ = 23026830336.

The previous prime is 100985663477. The next prime is 100985663531. The reversal of 100985663520 is 25366589001.

100985663520 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 5 + 6 + 635 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13271557 + ... + 13279163.

It is an arithmetic number, because the mean of its divisors is an integer number (1054468800).

Almost surely, 2^100985663520 is an apocalyptic number.

100985663520 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 100985663520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202458009600).

100985663520 is an abundant number, since it is smaller than the sum of its proper divisors (303930355680).

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

100985663520 is a wasteful number, since it uses less digits than its factorization.

100985663520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 100985663520 in words is "one hundred billion, nine hundred eighty-five million, six hundred sixty-three thousand, five hundred twenty".