105066570611401 has 64 divisors (see below), whose sum is σ = 131703477534720. Its totient is φ = 81736304256000.

The previous prime is 105066570611383. The next prime is 105066570611417. The reversal of 105066570611401 is 104116075660501.

It is a de Polignac number, because none of the positive numbers 2^k-105066570611401 is a prime.

It is a super-2 number, since 2×105066570611401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105066570611441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4255245466 + ... + 4255270156.

It is an arithmetic number, because the mean of its divisors is an integer number (2057866836480).

Almost surely, 2^{105066570611401} is an apocalyptic number.

It is an amenable number.

105066570611401 is a deficient number, since it is larger than the sum of its proper divisors (26636906923319).

105066570611401 is a wasteful number, since it uses less digits than its factorization.

105066570611401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28766.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 105066570611401 in words is "one hundred five trillion, sixty-six billion, five hundred seventy million, six hundred eleven thousand, four hundred one".