102268832 has 48 divisors (see below), whose sum is σ = 205821000. Its totient is φ = 50012160.

The previous prime is 102268823. The next prime is 102268847. The reversal of 102268832 is 238862201.

It can be written as a sum of positive squares in 4 ways, for example, as 65351056 + 36917776 = 8084^2 + 6076^2 .

It is a super-4 number, since 4×102268832⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 424232 + ... + 424472.

Almost surely, 2^102268832 is an apocalyptic number.

It is an amenable number.

102268832 is an abundant number, since it is smaller than the sum of its proper divisors (103552168).

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

102268832 is a wasteful number, since it uses less digits than its factorization.

102268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 102268832 is about 10112.8053476768. The cubic root of 102268832 is about 467.6429936152.

The spelling of 102268832 in words is "one hundred two million, two hundred sixty-eight thousand, eight hundred thirty-two".