102118560 has 96 divisors (see below), whose sum is σ = 325866240. Its totient is φ = 26876928.

The previous prime is 102118547. The next prime is 102118573. The reversal of 102118560 is 65811201.

It is an interprime number because it is at equal distance from previous prime (102118547) and next prime (102118573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102118560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36574 + ... + 39266.

It is an arithmetic number, because the mean of its divisors is an integer number (3394440).

Almost surely, 2^102118560 is an apocalyptic number.

102118560 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 102118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162933120).

102118560 is an abundant number, since it is smaller than the sum of its proper divisors (223747680).

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

102118560 is a wasteful number, since it uses less digits than its factorization.

102118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 102118560 is about 10105.3728283523. The cubic root of 102118560 is about 467.4138325752.

Adding to 102118560 its reverse (65811201), we get a palindrome (167929761).

The spelling of 102118560 in words is "one hundred two million, one hundred eighteen thousand, five hundred sixty".