102064914432 has 816 divisors, whose sum is σ = 360686420640. Its totient is φ = 28538044416.

The previous prime is 102064914421. The next prime is 102064914433. The reversal of 102064914432 is 234419460201.

102064914432 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 649 + 1 + 4 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (816).

It is a super-2 number, since 2×102064914432² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102064914433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519479794 + ... + 3519479822.

Almost surely, 2^102064914432 is an apocalyptic number.

102064914432 is a gapful number since it is divisible by the number (12) 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 102064914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180343210320).

102064914432 is an abundant number, since it is smaller than the sum of its proper divisors (258621506208).

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

102064914432 is an frugal number, since it uses more digits than its factorization.

102064914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 102064914432 in words is "one hundred two billion, sixty-four million, nine hundred fourteen thousand, four hundred thirty-two".