105973745 has 16 divisors (see below), whose sum is σ = 129276432. Its totient is φ = 83385600.

The previous prime is 105973711. The next prime is 105973757. The reversal of 105973745 is 547379501.

It can be written as a sum of positive squares in 8 ways, for example, as 3073009 + 102900736 = 1753^2 + 10144^2 .

It is not a de Polignac number, because 105973745 - 2¹⁴ = 105957361 is a prime.

It is a super-2 number, since 2×105973745² = 22460869258650050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86759 + ... + 87971.

It is an arithmetic number, because the mean of its divisors is an integer number (8079777).

Almost surely, 2^105973745 is an apocalyptic number.

It is an amenable number.

105973745 is a deficient number, since it is larger than the sum of its proper divisors (23302687).

105973745 is a wasteful number, since it uses less digits than its factorization.

105973745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492.

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 105973745 is about 10294.3550065072. The cubic root of 105973745 is about 473.2232719811.

The spelling of 105973745 in words is "one hundred five million, nine hundred seventy-three thousand, seven hundred forty-five".