102557499840 has 448 divisors, whose sum is σ = 372893051520. Its totient is φ = 26515537920.

The previous prime is 102557499827. The next prime is 102557499871. The reversal of 102557499840 is 48994755201.

It is a happy number.

102557499840 is a `hidden beast` number, since 1 + 0 + 2 + 557 + 4 + 9 + 9 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172946584 + ... + 172947176.

Almost surely, 2^102557499840 is an apocalyptic number.

102557499840 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 102557499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186446525760).

102557499840 is an abundant number, since it is smaller than the sum of its proper divisors (270335551680).

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

102557499840 is a wasteful number, since it uses less digits than its factorization.

102557499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 102557499840 in words is "one hundred two billion, five hundred fifty-seven million, four hundred ninety-nine thousand, eight hundred forty".