105351953 has 8 divisors (see below), whose sum is σ = 121142208. Its totient is φ = 89746704.

The previous prime is 105351949. The next prime is 105351977. The reversal of 105351953 is 359153501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105351953 - 2² = 105351949 is a prime.

It is a super-2 number, since 2×105351953² = 22198068001828418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105351053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45026 + ... + 47307.

It is an arithmetic number, because the mean of its divisors is an integer number (15142776).

Almost surely, 2^105351953 is an apocalyptic number.

It is an amenable number.

105351953 is a deficient number, since it is larger than the sum of its proper divisors (15790255).

105351953 is an equidigital number, since it uses as much as digits as its factorization.

105351953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92503.

The product of its (nonzero) digits is 10125, while the sum is 32.

The square root of 105351953 is about 10264.1099468001. The cubic root of 105351953 is about 472.2959233668.

The spelling of 105351953 in words is "one hundred five million, three hundred fifty-one thousand, nine hundred fifty-three".