105053346177 has 24 divisors (see below), whose sum is σ = 159657544800. Its totient is φ = 61245669888.

The previous prime is 105053346169. The next prime is 105053346179. The reversal of 105053346177 is 771643350501.

It is not a de Polignac number, because 105053346177 - 2³ = 105053346169 is a prime.

It is a super-2 number, since 2×105053346177² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105053346179) 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, 5443152 + ... + 5462417.

It is an arithmetic number, because the mean of its divisors is an integer number (6652397700).

Almost surely, 2^105053346177 is an apocalyptic number.

It is an amenable number.

105053346177 is a deficient number, since it is larger than the sum of its proper divisors (54604198623).

105053346177 is a wasteful number, since it uses less digits than its factorization.

105053346177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10905617 (or 10905604 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

Adding to 105053346177 its reverse (771643350501), we get a palindrome (876696696678).

The spelling of 105053346177 in words is "one hundred five billion, fifty-three million, three hundred forty-six thousand, one hundred seventy-seven".