105551010593 has 24 divisors (see below), whose sum is σ = 129285767520. Its totient is φ = 85684314240.

The previous prime is 105551010581. The next prime is 105551010599. The reversal of 105551010593 is 395010155501.

It is a happy number.

It is not a de Polignac number, because 105551010593 - 2⁴ = 105551010577 is a prime.

It is a super-2 number, since 2×105551010593² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105551010599) 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, 3376073 + ... + 3407193.

It is an arithmetic number, because the mean of its divisors is an integer number (5386906980).

Almost surely, 2^105551010593 is an apocalyptic number.

It is an amenable number.

105551010593 is a deficient number, since it is larger than the sum of its proper divisors (23734756927).

105551010593 is a wasteful number, since it uses less digits than its factorization.

105551010593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34797 (or 34790 counting only the distinct ones).

The product of its (nonzero) digits is 16875, while the sum is 35.

The spelling of 105551010593 in words is "one hundred five billion, five hundred fifty-one million, ten thousand, five hundred ninety-three".