105641614353 has 24 divisors (see below), whose sum is σ = 163931965344. Its totient is φ = 60259027840.

The previous prime is 105641614343. The next prime is 105641614357. The reversal of 105641614353 is 353416146501.

It is not a de Polignac number, because 105641614353 - 2¹² = 105641610257 is a prime.

It is a super-2 number, since 2×105641614353² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105641614357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8553351 + ... + 8565692.

It is an arithmetic number, because the mean of its divisors is an integer number (6830498556).

Almost surely, 2^105641614353 is an apocalyptic number.

It is an amenable number.

105641614353 is a deficient number, since it is larger than the sum of its proper divisors (58290350991).

105641614353 is a wasteful number, since it uses less digits than its factorization.

105641614353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17119085 (or 17119074 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 105641614353 in words is "one hundred five billion, six hundred forty-one million, six hundred fourteen thousand, three hundred fifty-three".