105045520301 has 24 divisors (see below), whose sum is σ = 117997635840. Its totient is φ = 93343219200.

The previous prime is 105045520291. The next prime is 105045520339. The reversal of 105045520301 is 103025540501.

It is not a de Polignac number, because 105045520301 - 2²⁶ = 104978411437 is a prime.

It is a super-2 number, since 2×105045520301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105045523301) 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, 224330 + ... + 510308.

It is an arithmetic number, because the mean of its divisors is an integer number (4916568160).

Almost surely, 2^105045520301 is an apocalyptic number.

It is an amenable number.

105045520301 is a deficient number, since it is larger than the sum of its proper divisors (12952115539).

105045520301 is a wasteful number, since it uses less digits than its factorization.

105045520301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286085 (or 286068 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 105045520301 in words is "one hundred five billion, forty-five million, five hundred twenty thousand, three hundred one".