105496461 has 72 divisors (see below), whose sum is σ = 187532280. Its totient is φ = 56899584.

The previous prime is 105496459. The next prime is 105496471. The reversal of 105496461 is 164694501.

105496461 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 9 + 646 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1334025 + 104162436 = 1155^2 + 10206^2 .

It is not a de Polignac number, because 105496461 - 2¹ = 105496459 is a prime.

It is a super-2 number, since 2×105496461² = 22259006567049042, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105496471) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 933541 + ... + 933653.

It is an arithmetic number, because the mean of its divisors is an integer number (2604615).

Almost surely, 2^105496461 is an apocalyptic number.

It is an amenable number.

105496461 is a deficient number, since it is larger than the sum of its proper divisors (82035819).

105496461 is a wasteful number, since it uses less digits than its factorization.

105496461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105496461 is about 10271.1470148178. The cubic root of 105496461 is about 472.5117692542.

The spelling of 105496461 in words is "one hundred five million, four hundred ninety-six thousand, four hundred sixty-one".