105674315201 has 32 divisors (see below), whose sum is σ = 133767271680. Its totient is φ = 81234130176.

The previous prime is 105674315167. The next prime is 105674315221. The reversal of 105674315201 is 102513476501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105674315201 - 2¹⁸ = 105674053057 is a prime.

It is a super-2 number, since 2×105674315201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105674315221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365070 + ... + 2409336.

It is an arithmetic number, because the mean of its divisors is an integer number (4180227240).

Almost surely, 2^105674315201 is an apocalyptic number.

It is an amenable number.

105674315201 is a deficient number, since it is larger than the sum of its proper divisors (28092956479).

105674315201 is a wasteful number, since it uses less digits than its factorization.

105674315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45033.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 105674315201 in words is "one hundred five billion, six hundred seventy-four million, three hundred fifteen thousand, two hundred one".