102257640 has 160 divisors (see below), whose sum is σ = 353402280. Its totient is φ = 26500608.

The previous prime is 102257629. The next prime is 102257663. The reversal of 102257640 is 46752201.

102257640 is a `hidden beast` number, since 10 + 2 + 2 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78110244 + 24147396 = 8838^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119454 + ... + 120306.

Almost surely, 2^102257640 is an apocalyptic number.

102257640 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 102257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176701140).

102257640 is an abundant number, since it is smaller than the sum of its proper divisors (251144640).

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

102257640 is a wasteful number, since it uses less digits than its factorization.

102257640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 102257640 is about 10112.2519747087. The cubic root of 102257640 is about 467.6259338352.

The spelling of 102257640 in words is "one hundred two million, two hundred fifty-seven thousand, six hundred forty".