105033406641 has 16 divisors (see below), whose sum is σ = 141366456000. Its totient is φ = 69363560448.

The previous prime is 105033406613. The next prime is 105033406727. The reversal of 105033406641 is 146604330501.

It is not a de Polignac number, because 105033406641 - 2¹⁸ = 105033144497 is a prime.

It is a super-2 number, since 2×105033406641² (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 (105033406601) 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, 93256 + ... + 467721.

It is an arithmetic number, because the mean of its divisors is an integer number (8835403500).

Almost surely, 2^105033406641 is an apocalyptic number.

It is an amenable number.

105033406641 is a deficient number, since it is larger than the sum of its proper divisors (36333049359).

105033406641 is a wasteful number, since it uses less digits than its factorization.

105033406641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561568.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 105033406641 in words is "one hundred five billion, thirty-three million, four hundred six thousand, six hundred forty-one".