105061055001 has 32 divisors (see below), whose sum is σ = 164464972800. Its totient is φ = 58396303296.

The previous prime is 105061054981. The next prime is 105061055027. The reversal of 105061055001 is 100550160501.

It is not a de Polignac number, because 105061055001 - 2¹¹ = 105061052953 is a prime.

It is a super-2 number, since 2×105061055001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105061055051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168430 + ... + 3201416.

It is an arithmetic number, because the mean of its divisors is an integer number (5139530400).

Almost surely, 2^105061055001 is an apocalyptic number.

It is an amenable number.

105061055001 is a deficient number, since it is larger than the sum of its proper divisors (59403917799).

105061055001 is a wasteful number, since it uses less digits than its factorization.

105061055001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37133.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105061055001 in words is "one hundred five billion, sixty-one million, fifty-five thousand, one".