102257480 has 64 divisors (see below), whose sum is σ = 256359600. Its totient is φ = 36449280.

The previous prime is 102257459. The next prime is 102257489. The reversal of 102257480 is 84752201.

It can be written as a sum of positive squares in 8 ways, for example, as 23367556 + 78889924 = 4834^2 + 8882^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (102257489) 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, 11690 + ... + 18470.

Almost surely, 2^102257480 is an apocalyptic number.

102257480 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 102257480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128179800).

102257480 is an abundant number, since it is smaller than the sum of its proper divisors (154102120).

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

102257480 is a wasteful number, since it uses less digits than its factorization.

102257480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 102257480 is about 10112.2440635103. The cubic root of 102257480 is about 467.6256899408.

The spelling of 102257480 in words is "one hundred two million, two hundred fifty-seven thousand, four hundred eighty".