102480756 has 72 divisors (see below), whose sum is σ = 292834080. Its totient is φ = 27736128.

The previous prime is 102480733. The next prime is 102480769. The reversal of 102480756 is 657084201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6586 + ... + 15758.

It is an arithmetic number, because the mean of its divisors is an integer number (4067140).

Almost surely, 2^102480756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102480756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146417040).

102480756 is an abundant number, since it is smaller than the sum of its proper divisors (190353324).

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

102480756 is a wasteful number, since it uses less digits than its factorization.

102480756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9213 (or 9204 counting only the distinct ones).

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

The square root of 102480756 is about 10123.2779276280. The cubic root of 102480756 is about 467.9657912025.

The spelling of 102480756 in words is "one hundred two million, four hundred eighty thousand, seven hundred fifty-six".