102327677460 has 240 divisors, whose sum is σ = 324060072336. Its totient is φ = 27029127168.

The previous prime is 102327677443. The next prime is 102327677467. The reversal of 102327677460 is 64776723201.

102327677460 is a `hidden beast` number, since 102 + 3 + 27 + 67 + 7 + 460 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4762656144 + 97565021316 = 69012^2 + 312354^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102327677467) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91608822 + ... + 91609938.

Almost surely, 2^102327677460 is an apocalyptic number.

102327677460 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 102327677460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162030036168).

102327677460 is an abundant number, since it is smaller than the sum of its proper divisors (221732394876).

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

102327677460 is a wasteful number, since it uses less digits than its factorization.

102327677460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 102327677460 in words is "one hundred two billion, three hundred twenty-seven million, six hundred seventy-seven thousand, four hundred sixty".