105375137241 has 32 divisors (see below), whose sum is σ = 157876392960. Its totient is φ = 61965288000.

The previous prime is 105375137227. The next prime is 105375137303. The reversal of 105375137241 is 142731573501.

It is not a de Polignac number, because 105375137241 - 2⁷ = 105375137113 is a prime.

It is a super-2 number, since 2×105375137241² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105375137241.

It is not an unprimeable number, because it can be changed into a prime (105375137141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31626 + ... + 460163.

It is an arithmetic number, because the mean of its divisors is an integer number (4933637280).

Almost surely, 2^105375137241 is an apocalyptic number.

105375137241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105375137241 is a deficient number, since it is larger than the sum of its proper divisors (52501255719).

105375137241 is a wasteful number, since it uses less digits than its factorization.

105375137241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491997.

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 105375137241 in words is "one hundred five billion, three hundred seventy-five million, one hundred thirty-seven thousand, two hundred forty-one".