105347164 has 72 divisors (see below), whose sum is σ = 215822880. Its totient is φ = 44808192.

The previous prime is 105347149. The next prime is 105347167. The reversal of 105347164 is 461743501.

It is a super-2 number, since 2×105347164² = 22196049925685792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105347167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022737 + ... + 1022839.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^105347164 is an apocalyptic number.

It is an amenable number.

105347164 is an abundant number, since it is smaller than the sum of its proper divisors (110475716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105347164 is a wasteful number, since it uses less digits than its factorization.

105347164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105347164 is about 10263.8766555332. The cubic root of 105347164 is about 472.2887668488.

The spelling of 105347164 in words is "one hundred five million, three hundred forty-seven thousand, one hundred sixty-four".