105249673761 has 16 divisors (see below), whose sum is σ = 140471193600. Its totient is φ = 70097344208.

The previous prime is 105249673759. The next prime is 105249673801. The reversal of 105249673761 is 167376942501.

It is not a de Polignac number, because 105249673761 - 2¹ = 105249673759 is a prime.

It is a super-2 number, since 2×105249673761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105249673261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18661780 + ... + 18667418.

It is an arithmetic number, because the mean of its divisors is an integer number (8779449600).

Almost surely, 2^105249673761 is an apocalyptic number.

It is an amenable number.

105249673761 is a deficient number, since it is larger than the sum of its proper divisors (35221519839).

105249673761 is a wasteful number, since it uses less digits than its factorization.

105249673761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10668.

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 105249673761 in words is "one hundred five billion, two hundred forty-nine million, six hundred seventy-three thousand, seven hundred sixty-one".