107042564 has 6 divisors (see below), whose sum is σ = 187324494. Its totient is φ = 53521280.

The previous prime is 107042521. The next prime is 107042587. The reversal of 107042564 is 465240701.

It can be written as a sum of positive squares in only one way, i.e., 77968900 + 29073664 = 8830^2 + 5392^2 .

It is a super-2 number, since 2×107042564² = 22916221015388192, which contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 13380317 + ... + 13380324.

It is an arithmetic number, because the mean of its divisors is an integer number (31220749).

Almost surely, 2^107042564 is an apocalyptic number.

It is an amenable number.

107042564 is a deficient number, since it is larger than the sum of its proper divisors (80281930).

107042564 is a wasteful number, since it uses less digits than its factorization.

107042564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26760645 (or 26760643 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 107042564 is about 10346.1376368189. The cubic root of 107042564 is about 474.8088819313.

It can be divided in two parts, 1070 and 42564, that added together give a palindrome (43634).

The spelling of 107042564 in words is "one hundred seven million, forty-two thousand, five hundred sixty-four".