102485760 has 144 divisors (see below), whose sum is σ = 352663584. Its totient is φ = 25214976.

The previous prime is 102485759. The next prime is 102485767. The reversal of 102485760 is 67584201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102485767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48894 + ... + 50946.

Almost surely, 2^102485760 is an apocalyptic number.

102485760 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 102485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176331792).

102485760 is an abundant number, since it is smaller than the sum of its proper divisors (250177824).

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

102485760 is a wasteful number, since it uses less digits than its factorization.

102485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 102485760 is about 10123.5250777582. The cubic root of 102485760 is about 467.9734077958.

The spelling of 102485760 in words is "one hundred two million, four hundred eighty-five thousand, seven hundred sixty".