102116072 has 32 divisors (see below), whose sum is σ = 194594400. Its totient is φ = 50232000.

The previous prime is 102116033. The next prime is 102116081. The reversal of 102116072 is 270611201.

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, 145322 + ... + 146022.

It is an arithmetic number, because the mean of its divisors is an integer number (6081075).

Almost surely, 2^102116072 is an apocalyptic number.

It is an amenable number.

102116072 is a deficient number, since it is larger than the sum of its proper divisors (92478328).

102116072 is a wasteful number, since it uses less digits than its factorization.

102116072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 102116072 is about 10105.2497247718. The cubic root of 102116072 is about 467.4100365462.

Adding to 102116072 its reverse (270611201), we get a palindrome (372727273).

The spelling of 102116072 in words is "one hundred two million, one hundred sixteen thousand, seventy-two".