102057251242224 has 80 divisors (see below), whose sum is σ = 263794276085760. Its totient is φ = 34000201105920.

The previous prime is 102057251242223. The next prime is 102057251242237. The reversal of 102057251242224 is 422242152750201.

It is a super-2 number, since 2×102057251242224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102057251242223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733674919 + ... + 733814009.

It is an arithmetic number, because the mean of its divisors is an integer number (3297428451072).

Almost surely, 2^{102057251242224} is an apocalyptic number.

It is an amenable number.

102057251242224 is an abundant number, since it is smaller than the sum of its proper divisors (161737024843536).

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

102057251242224 is a wasteful number, since it uses less digits than its factorization.

102057251242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147478 (or 147472 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 102057251242224 in words is "one hundred two trillion, fifty-seven billion, two hundred fifty-one million, two hundred forty-two thousand, two hundred twenty-four".