105314242592 has 96 divisors (see below), whose sum is σ = 230748585984. Its totient is φ = 46985702400.

The previous prime is 105314242571. The next prime is 105314242601. The reversal of 105314242592 is 295242413501.

It is a super-2 number, since 2×105314242592² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12853217 + ... + 12861407.

It is an arithmetic number, because the mean of its divisors is an integer number (2403631104).

Almost surely, 2^105314242592 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 105314242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115374292992).

105314242592 is an abundant number, since it is smaller than the sum of its proper divisors (125434343392).

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

105314242592 is a wasteful number, since it uses less digits than its factorization.

105314242592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 105314242592 in words is "one hundred five billion, three hundred fourteen million, two hundred forty-two thousand, five hundred ninety-two".