102140032 has 32 divisors (see below), whose sum is σ = 206366400. Its totient is φ = 50346240.

The previous prime is 102140011. The next prime is 102140041. The reversal of 102140032 is 230041201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×102140032² = 20865172273922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102139994 and 102140021.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3469 + ... + 14707.

It is an arithmetic number, because the mean of its divisors is an integer number (6448950).

Almost surely, 2^102140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103183200).

102140032 is an abundant number, since it is smaller than the sum of its proper divisors (104226368).

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

102140032 is an equidigital number, since it uses as much as digits as its factorization.

102140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102140032 is about 10106.4351776480. The cubic root of 102140032 is about 467.4465905984.

Adding to 102140032 its reverse (230041201), we get a palindrome (332181233).

The spelling of 102140032 in words is "one hundred two million, one hundred forty thousand, thirty-two".