105342610632 has 64 divisors (see below), whose sum is σ = 316819891200. Its totient is φ = 28513788480.

The previous prime is 105342610619. The next prime is 105342610673. The reversal of 105342610632 is 236016243501.

It is a super-2 number, since 2×105342610632² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105342610593 and 105342610602.

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, 16497844 + ... + 16504227.

It is an arithmetic number, because the mean of its divisors is an integer number (4950310800).

Almost surely, 2^105342610632 is an apocalyptic number.

105342610632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105342610632 is an abundant number, since it is smaller than the sum of its proper divisors (211477280568).

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

105342610632 is a wasteful number, since it uses less digits than its factorization.

105342610632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33002106 (or 33002102 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 105342610632 in words is "one hundred five billion, three hundred forty-two million, six hundred ten thousand, six hundred thirty-two".