105164132 has 6 divisors (see below), whose sum is σ = 184037238. Its totient is φ = 52582064.

The previous prime is 105164131. The next prime is 105164141. The reversal of 105164132 is 231461501.

It can be written as a sum of positive squares in only one way, i.e., 99480676 + 5683456 = 9974^2 + 2384^2 .

It is a super-2 number, since 2×105164132² = 22118989318626848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105164098 and 105164107.

It is not an unprimeable number, because it can be changed into a prime (105164131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13145513 + ... + 13145520.

It is an arithmetic number, because the mean of its divisors is an integer number (30672873).

Almost surely, 2^105164132 is an apocalyptic number.

It is an amenable number.

105164132 is a deficient number, since it is larger than the sum of its proper divisors (78873106).

105164132 is a wasteful number, since it uses less digits than its factorization.

105164132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26291037 (or 26291035 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105164132 is about 10254.9564601709. The cubic root of 105164132 is about 472.0150873756.

The spelling of 105164132 in words is "one hundred five million, one hundred sixty-four thousand, one hundred thirty-two".