105612310032 has 40 divisors (see below), whose sum is σ = 272904809760. Its totient is φ = 35194682880.

The previous prime is 105612310031. The next prime is 105612310033. The reversal of 105612310032 is 230013216501.

It is an interprime number because it is at equal distance from previous prime (105612310031) and next prime (105612310033).

It is a super-2 number, since 2×105612310032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105612309984 and 105612310011.

It is not an unprimeable number, because it can be changed into a prime (105612310031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111982 + ... + 473037.

It is an arithmetic number, because the mean of its divisors is an integer number (6822620244).

Almost surely, 2^105612310032 is an apocalyptic number.

105612310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105612310032 is an abundant number, since it is smaller than the sum of its proper divisors (167292499728).

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

105612310032 is a wasteful number, since it uses less digits than its factorization.

105612310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588791 (or 588785 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105612310032 its reverse (230013216501), we get a palindrome (335625526533).

The spelling of 105612310032 in words is "one hundred five billion, six hundred twelve million, three hundred ten thousand, thirty-two".