105010010601 has 4 divisors (see below), whose sum is σ = 140013347472. Its totient is φ = 70006673732.

The previous prime is 105010010587. The next prime is 105010010617. The reversal of 105010010601 is 106010010501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105010010601 - 2¹⁴ = 105009994217 is a prime.

It is a super-2 number, since 2×105010010601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105010014601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17501668431 + ... + 17501668436.

It is an arithmetic number, because the mean of its divisors is an integer number (35003336868).

Almost surely, 2^105010010601 is an apocalyptic number.

It is an amenable number.

105010010601 is a deficient number, since it is larger than the sum of its proper divisors (35003336871).

105010010601 is an equidigital number, since it uses as much as digits as its factorization.

105010010601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35003336870.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 105010010601 in words is "one hundred five billion, ten million, ten thousand, six hundred one".