105133564 has 12 divisors (see below), whose sum is σ = 186051600. Its totient is φ = 51975968.

The previous prime is 105133543. The next prime is 105133579. The reversal of 105133564 is 465331501.

It is a super-2 number, since 2×105133564² = 22106132558684192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147304 + ... + 148015.

It is an arithmetic number, because the mean of its divisors is an integer number (15504300).

Almost surely, 2^105133564 is an apocalyptic number.

It is an amenable number.

105133564 is a deficient number, since it is larger than the sum of its proper divisors (80918036).

105133564 is a wasteful number, since it uses less digits than its factorization.

105133564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295412 (or 295410 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105133564 is about 10253.4659505945. The cubic root of 105133564 is about 471.9693494891.

The spelling of 105133564 in words is "one hundred five million, one hundred thirty-three thousand, five hundred sixty-four".