102816160 has 48 divisors (see below), whose sum is σ = 244510056. Its totient is φ = 40854528.

The previous prime is 102816137. The next prime is 102816169. The reversal of 102816160 is 61618201.

It can be written as a sum of positive squares in 4 ways, for example, as 68757264 + 34058896 = 8292^2 + 5836^2 .

It is not an unprimeable number, because it can be changed into a prime (102816169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23074 + ... + 27166.

Almost surely, 2^102816160 is an apocalyptic number.

102816160 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 102816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122255028).

102816160 is an abundant number, since it is smaller than the sum of its proper divisors (141693896).

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

102816160 is a wasteful number, since it uses less digits than its factorization.

102816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 102816160 is about 10139.8303733347. The cubic root of 102816160 is about 468.4757623171.

The spelling of 102816160 in words is "one hundred two million, eight hundred sixteen thousand, one hundred sixty".