102407592 has 128 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 26323968.

The previous prime is 102407581. The next prime is 102407603. The reversal of 102407592 is 295704201.

It is an interprime number because it is at equal distance from previous prime (102407581) and next prime (102407603).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64909 + ... + 66467.

It is an arithmetic number, because the mean of its divisors is an integer number (2527200).

Almost surely, 2^102407592 is an apocalyptic number.

102407592 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 102407592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

102407592 is an abundant number, since it is smaller than the sum of its proper divisors (221074008).

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

102407592 is a wasteful number, since it uses less digits than its factorization.

102407592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 102407592 is about 10119.6636307735. The cubic root of 102407592 is about 467.8543998818.

The spelling of 102407592 in words is "one hundred two million, four hundred seven thousand, five hundred ninety-two".