102557424 has 80 divisors (see below), whose sum is σ = 275855360. Its totient is φ = 32797440.

The previous prime is 102557423. The next prime is 102557449. The reversal of 102557424 is 424755201.

It is a junction number, because it is equal to n+sod(n) for n = 102557391 and 102557400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102557423) 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, 233397 + ... + 233835.

It is an arithmetic number, because the mean of its divisors is an integer number (3448192).

Almost surely, 2^102557424 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 102557424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137927680).

102557424 is an abundant number, since it is smaller than the sum of its proper divisors (173297936).

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

102557424 is a wasteful number, since it uses less digits than its factorization.

102557424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 102557424 is about 10127.0639377857. The cubic root of 102557424 is about 468.0824604497.

The spelling of 102557424 in words is "one hundred two million, five hundred fifty-seven thousand, four hundred twenty-four".