102112032 has 48 divisors (see below), whose sum is σ = 292414752. Its totient is φ = 30942720.

The previous prime is 102112009. The next prime is 102112063. The reversal of 102112032 is 230211201.

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

It is a super-4 number, since 4×102112032⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102111999 and 102112017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47293 + ... + 49404.

It is an arithmetic number, because the mean of its divisors is an integer number (6091974).

Almost surely, 2^102112032 is an apocalyptic number.

102112032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112032 is an abundant number, since it is smaller than the sum of its proper divisors (190302720).

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

102112032 is a wasteful number, since it uses less digits than its factorization.

102112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96721 (or 96713 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102112032 is about 10105.0498266956. The cubic root of 102112032 is about 467.4038724449.

Adding to 102112032 its reverse (230211201), we get a palindrome (332323233).

The spelling of 102112032 in words is "one hundred two million, one hundred twelve thousand, thirty-two".