102163152 has 160 divisors (see below), whose sum is σ = 342200320. Its totient is φ = 25505280.

The previous prime is 102163147. The next prime is 102163163. The reversal of 102163152 is 251361201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82377 + ... + 83607.

It is an arithmetic number, because the mean of its divisors is an integer number (2138752).

Almost surely, 2^102163152 is an apocalyptic number.

102163152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102163152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171100160).

102163152 is an abundant number, since it is smaller than the sum of its proper divisors (240037168).

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

102163152 is a wasteful number, since it uses less digits than its factorization.

102163152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 102163152 is about 10107.5789385985. The cubic root of 102163152 is about 467.4818577039.

The spelling of 102163152 in words is "one hundred two million, one hundred sixty-three thousand, one hundred fifty-two".