105145953 has 8 divisors (see below), whose sum is σ = 152939616. Its totient is φ = 63724800.

The previous prime is 105145951. The next prime is 105145979. The reversal of 105145953 is 359541501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105145953 - 2¹ = 105145951 is a prime.

It is a super-2 number, since 2×105145953² = 22111342864556418, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3186241 = 105145953 / (1 + 0 + 5 + 1 + 4 + 5 + 9 + 5 + 3).

It is not an unprimeable number, because it can be changed into a prime (105145951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593088 + ... + 1593153.

It is an arithmetic number, because the mean of its divisors is an integer number (19117452).

Almost surely, 2^105145953 is an apocalyptic number.

It is an amenable number.

105145953 is a deficient number, since it is larger than the sum of its proper divisors (47793663).

105145953 is a wasteful number, since it uses less digits than its factorization.

105145953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3186255.

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 105145953 is about 10254.0700699771. The cubic root of 105145953 is about 471.9878878080.

The spelling of 105145953 in words is "one hundred five million, one hundred forty-five thousand, nine hundred fifty-three".