105072436345634 has 32 divisors (see below), whose sum is σ = 158290431102720. Its totient is φ = 52309206626688.

The previous prime is 105072436345627. The next prime is 105072436345663. The reversal of 105072436345634 is 436543634270501.

It is a super-2 number, since 2×105072436345634² (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 15 ways as a sum of consecutive naturals, for example, 11253335414 + ... + 11253344750.

It is an arithmetic number, because the mean of its divisors is an integer number (4946575971960).

Almost surely, 2^{105072436345634} is an apocalyptic number.

105072436345634 is a deficient number, since it is larger than the sum of its proper divisors (53217994757086).

105072436345634 is a wasteful number, since it uses less digits than its factorization.

105072436345634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20042.

The product of its (nonzero) digits is 21772800, while the sum is 53.

The spelling of 105072436345634 in words is "one hundred five trillion, seventy-two billion, four hundred thirty-six million, three hundred forty-five thousand, six hundred thirty-four".