102161124 has 72 divisors (see below), whose sum is σ = 290227392. Its totient is φ = 30064320.

The previous prime is 102161117. The next prime is 102161149. The reversal of 102161124 is 421161201.

102161124 is a `hidden beast` number, since 10 + 21 + 611 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102161097 and 102161106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6019 + ... + 15509.

It is an arithmetic number, because the mean of its divisors is an integer number (4030936).

Almost surely, 2^102161124 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 102161124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145113696).

102161124 is an abundant number, since it is smaller than the sum of its proper divisors (188066268).

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

102161124 is a wasteful number, since it uses less digits than its factorization.

102161124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 102161124 is about 10107.4786173407. The cubic root of 102161124 is about 467.4787644181.

The spelling of 102161124 in words is "one hundred two million, one hundred sixty-one thousand, one hundred twenty-four".