102968592 has 80 divisors (see below), whose sum is σ = 283321152. Its totient is φ = 32112640.

The previous prime is 102968563. The next prime is 102968599. The reversal of 102968592 is 295869201.

It is not an unprimeable number, because it can be changed into a prime (102968599) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209467 + ... + 209957.

Almost surely, 2^102968592 is an apocalyptic number.

102968592 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 102968592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141660576).

102968592 is an abundant number, since it is smaller than the sum of its proper divisors (180352560).

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

102968592 is a wasteful number, since it uses less digits than its factorization.

102968592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 102968592 is about 10147.3440860158. The cubic root of 102968592 is about 468.7071638011.

The spelling of 102968592 in words is "one hundred two million, nine hundred sixty-eight thousand, five hundred ninety-two".