105723153 has 12 divisors (see below), whose sum is σ = 161694468. Its totient is φ = 66336000.

The previous prime is 105723151. The next prime is 105723161. The reversal of 105723153 is 351327501.

105723153 is a `hidden beast` number, since 10 + 572 + 31 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 52316289 = 7308^2 + 7233^2 .

It is not a de Polignac number, because 105723153 - 2¹ = 105723151 is a prime.

It is a super-2 number, since 2×105723153² = 22354770160522818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105723151) 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, 345348 + ... + 345653.

It is an arithmetic number, because the mean of its divisors is an integer number (13474539).

Almost surely, 2^105723153 is an apocalyptic number.

It is an amenable number.

105723153 is a deficient number, since it is larger than the sum of its proper divisors (55971315).

105723153 is a wasteful number, since it uses less digits than its factorization.

105723153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691024 (or 691021 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105723153 is about 10282.1764719343. The cubic root of 105723153 is about 472.8499733525.

The spelling of 105723153 in words is "one hundred five million, seven hundred twenty-three thousand, one hundred fifty-three".