102112132 has 48 divisors (see below), whose sum is σ = 199629360. Its totient is φ = 45473792.

The previous prime is 102112121. The next prime is 102112139. The reversal of 102112132 is 231211201.

It can be written as a sum of positive squares in 8 ways, for example, as 26873856 + 75238276 = 5184^2 + 8674^2 .

It is not an unprimeable number, because it can be changed into a prime (102112139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104028 + ... + 105004.

It is an arithmetic number, because the mean of its divisors is an integer number (4158945).

Almost surely, 2^102112132 is an apocalyptic number.

It is an amenable number.

102112132 is a deficient number, since it is larger than the sum of its proper divisors (97517228).

102112132 is a wasteful number, since it uses less digits than its factorization.

102112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102112132 is about 10105.0547747155. The cubic root of 102112132 is about 467.4040250236.

Adding to 102112132 its reverse (231211201), we get a palindrome (333323333).

The spelling of 102112132 in words is "one hundred two million, one hundred twelve thousand, one hundred thirty-two".