103129874362944 has 945 divisors, whose sum is σ = 353411694069915. Its totient is φ = 28740277463040.

The previous prime is 103129874362939. The next prime is 103129874362951. The reversal of 103129874362944 is 449263478921301.

The square root of 103129874362944 is 10155288.

It is a perfect power (a square), and thus also a powerful number.

103129874362944 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 9 + 87 + 436 + 2 + 94 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64941033960000 + 38188840402944 = 8058600^2 + 6179712^2 .

It is a super-2 number, since 2×103129874362944² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 383382432442 + ... + 383382432710.

Almost surely, 2^{103129874362944} is an apocalyptic number.

103129874362944 is the 10155288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103129874362944

103129874362944 is an abundant number, since it is smaller than the sum of its proper divisors (250281819706971).

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

103129874362944 is an frugal number, since it uses more digits than its factorization.

103129874362944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 103129874362944 in words is "one hundred three trillion, one hundred twenty-nine billion, eight hundred seventy-four million, three hundred sixty-two thousand, nine hundred forty-four".