102224907 has 12 divisors (see below), whose sum is σ = 148402800. Its totient is φ = 67806288.

The previous prime is 102224897. The next prime is 102224929. The reversal of 102224907 is 709422201.

It is not a de Polignac number, because 102224907 - 2⁷ = 102224779 is a prime.

It is a super-2 number, since 2×102224907² = 20899863222317298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102224957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 26748 + ... + 30329.

It is an arithmetic number, because the mean of its divisors is an integer number (12366900).

Almost surely, 2^102224907 is an apocalyptic number.

102224907 is a deficient number, since it is larger than the sum of its proper divisors (46177893).

102224907 is a wasteful number, since it uses less digits than its factorization.

102224907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57282 (or 57279 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102224907 is about 10110.6333629501. The cubic root of 102224907 is about 467.5760323209.

It can be divided in two parts, 10222 and 4907, that added together give a square (15129 = 123²).

The spelling of 102224907 in words is "one hundred two million, two hundred twenty-four thousand, nine hundred seven".