105981473 has 16 divisors (see below), whose sum is σ = 116525136. Its totient is φ = 95800320.

The previous prime is 105981409. The next prime is 105981479. The reversal of 105981473 is 374189501.

It can be written as a sum of positive squares in 8 ways, for example, as 55457809 + 50523664 = 7447^2 + 7108^2 .

It is a cyclic number.

It is not a de Polignac number, because 105981473 - 2⁶ = 105981409 is a prime.

It is a super-2 number, since 2×105981473² = 22464145238499458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105981479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171461 + ... + 172077.

It is an arithmetic number, because the mean of its divisors is an integer number (7282821).

Almost surely, 2^105981473 is an apocalyptic number.

105981473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105981473 is a deficient number, since it is larger than the sum of its proper divisors (10543663).

105981473 is a wasteful number, since it uses less digits than its factorization.

105981473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884.

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 105981473 is about 10294.7303510097. The cubic root of 105981473 is about 473.2347747691.

The spelling of 105981473 in words is "one hundred five million, nine hundred eighty-one thousand, four hundred seventy-three".