102491712 has 84 divisors (see below), whose sum is σ = 298692316. Its totient is φ = 33592320.

The previous prime is 102491671. The next prime is 102491717. The reversal of 102491712 is 217194201.

102491712 is a `hidden beast` number, since 102 + 491 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 43877376 = 7656^2 + 6624^2 .

It is not an unprimeable number, because it can be changed into a prime (102491717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33678 + ... + 36594.

Almost surely, 2^102491712 is an apocalyptic number.

102491712 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 102491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149346158).

102491712 is an abundant number, since it is smaller than the sum of its proper divisors (196200604).

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

102491712 is a wasteful number, since it uses less digits than its factorization.

102491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102491712 is about 10123.8190422390. The cubic root of 102491712 is about 467.9824670179.

The spelling of 102491712 in words is "one hundred two million, four hundred ninety-one thousand, seven hundred twelve".