105130250053052 has 96 divisors (see below), whose sum is σ = 214942947287040. Its totient is φ = 44054322647040.

The previous prime is 105130250053033. The next prime is 105130250053063. The reversal of 105130250053052 is 250350052031501.

It is a super-2 number, since 2×105130250053052² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12211663724 + ... + 12211672332.

It is an arithmetic number, because the mean of its divisors is an integer number (2238989034240).

Almost surely, 2^{105130250053052} 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 105130250053052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107471473643520).

105130250053052 is an abundant number, since it is smaller than the sum of its proper divisors (109812697233988).

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

105130250053052 is a wasteful number, since it uses less digits than its factorization.

105130250053052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16611 (or 16609 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 105130250053052 in words is "one hundred five trillion, one hundred thirty billion, two hundred fifty million, fifty-three thousand, fifty-two".