102208392 has 160 divisors (see below), whose sum is σ = 336631680. Its totient is φ = 28563840.

The previous prime is 102208373. The next prime is 102208397. The reversal of 102208392 is 293802201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102208397) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92113 + ... + 93215.

It is an arithmetic number, because the mean of its divisors is an integer number (2103948).

Almost surely, 2^102208392 is an apocalyptic number.

102208392 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 102208392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168315840).

102208392 is an abundant number, since it is smaller than the sum of its proper divisors (234423288).

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

102208392 is a wasteful number, since it uses less digits than its factorization.

102208392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102208392 is about 10109.8166155475. The cubic root of 102208392 is about 467.5508511321.

The spelling of 102208392 in words is "one hundred two million, two hundred eight thousand, three hundred ninety-two".