100216325664 has 432 divisors, whose sum is σ = 375824292480. Its totient is φ = 25038720000.

The previous prime is 100216325653. The next prime is 100216325687. The reversal of 100216325664 is 466523612001.

100216325664 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 632 + 5 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3471289 + ... + 3500039.

It is an arithmetic number, because the mean of its divisors is an integer number (869963640).

Almost surely, 2^100216325664 is an apocalyptic number.

100216325664 is a gapful number since it is divisible by the number (14) 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 100216325664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187912146240).

100216325664 is an abundant number, since it is smaller than the sum of its proper divisors (275607966816).

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

100216325664 is a wasteful number, since it uses less digits than its factorization.

100216325664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28813 (or 28795 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 100216325664 its reverse (466523612001), we get a palindrome (566739937665).

The spelling of 100216325664 in words is "one hundred billion, two hundred sixteen million, three hundred twenty-five thousand, six hundred sixty-four".