102313632 has 48 divisors (see below), whose sum is σ = 282713760. Its totient is φ = 32308992.

The previous prime is 102313619. The next prime is 102313643. The reversal of 102313632 is 236313201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 102313599 and 102313608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26223 + ... + 29870.

It is an arithmetic number, because the mean of its divisors is an integer number (5889870).

Almost surely, 2^102313632 is an apocalyptic number.

102313632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102313632 is an abundant number, since it is smaller than the sum of its proper divisors (180400128).

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

102313632 is a wasteful number, since it uses less digits than its factorization.

102313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56125 (or 56117 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 102313632 is about 10115.0201186157. The cubic root of 102313632 is about 467.7112690524.

Adding to 102313632 its reverse (236313201), we get a palindrome (338626833).

The spelling of 102313632 in words is "one hundred two million, three hundred thirteen thousand, six hundred thirty-two".