105305553 has 12 divisors (see below), whose sum is σ = 152209668. Its totient is φ = 70156800.

The previous prime is 105305549. The next prime is 105305561. The reversal of 105305553 is 355503501.

105305553 is a `hidden beast` number, since 105 + 3 + 0 + 5 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97950609 + 7354944 = 9897^2 + 2712^2 .

It is not a de Polignac number, because 105305553 - 2² = 105305549 is a prime.

It is a super-2 number, since 2×105305553² = 22178518985271618, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105305573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15253 + ... + 21053.

It is an arithmetic number, because the mean of its divisors is an integer number (12684139).

Almost surely, 2^105305553 is an apocalyptic number.

It is an amenable number.

105305553 is a deficient number, since it is larger than the sum of its proper divisors (46904115).

105305553 is a wasteful number, since it uses less digits than its factorization.

105305553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7824 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 105305553 is about 10261.8493947241. The cubic root of 105305553 is about 472.2265756605.

The spelling of 105305553 in words is "one hundred five million, three hundred five thousand, five hundred fifty-three".