105112811295520 has 768 divisors, whose sum is σ = 313402908672000. Its totient is φ = 32482854531072.

The previous prime is 105112811295511. The next prime is 105112811295587. The reversal of 105112811295520 is 25592118211501.

It is a super-2 number, since 2×105112811295520² (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 127 ways as a sum of consecutive naturals, for example, 103152905571 + ... + 103152906589.

It is an arithmetic number, because the mean of its divisors is an integer number (408076704000).

Almost surely, 2^{105112811295520} is an apocalyptic number.

105112811295520 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 105112811295520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156701454336000).

105112811295520 is an abundant number, since it is smaller than the sum of its proper divisors (208290097376480).

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

105112811295520 is a wasteful number, since it uses less digits than its factorization.

105112811295520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 43.

The spelling of 105112811295520 in words is "one hundred five trillion, one hundred twelve billion, eight hundred eleven million, two hundred ninety-five thousand, five hundred twenty".