102561360 has 160 divisors (see below), whose sum is σ = 353870208. Its totient is φ = 24360960.

The previous prime is 102561337. The next prime is 102561367. The reversal of 102561360 is 63165201.

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 102561360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102561367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139554 + ... + 140286.

Almost surely, 2^102561360 is an apocalyptic number.

102561360 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 102561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176935104).

102561360 is an abundant number, since it is smaller than the sum of its proper divisors (251308848).

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

102561360 is a wasteful number, since it uses less digits than its factorization.

102561360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102561360 is about 10127.2582666781. The cubic root of 102561360 is about 468.0884484739.

The spelling of 102561360 in words is "one hundred two million, five hundred sixty-one thousand, three hundred sixty".