102159200 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 31795200.

The previous prime is 102159179. The next prime is 102159209. The reversal of 102159200 is 2951201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102159209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173577 + ... + 2173623.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^102159200 is an apocalyptic number.

102159200 is a gapful number since it is divisible by the number (10) 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 102159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

102159200 is an abundant number, since it is smaller than the sum of its proper divisors (212820640).

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

102159200 is a wasteful number, since it uses less digits than its factorization.

102159200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 102159200 is about 10107.3834398424. The cubic root of 102159200 is about 467.4758297245.

The spelling of 102159200 in words is "one hundred two million, one hundred fifty-nine thousand, two hundred".