100564461 has 6 divisors (see below), whose sum is σ = 145259790. Its totient is φ = 67042968.

The previous prime is 100564447. The next prime is 100564523. The reversal of 100564461 is 164465001.

100564461 is a `hidden beast` number, since 10 + 0 + 5 + 644 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97891236 + 2673225 = 9894^2 + 1635^2 .

It is not a de Polignac number, because 100564461 - 2²¹ = 98467309 is a prime.

It is a super-2 number, since 2×100564461² = 20226421632441042, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100564411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5586906 + ... + 5586923.

It is an arithmetic number, because the mean of its divisors is an integer number (24209965).

Almost surely, 2^100564461 is an apocalyptic number.

It is an amenable number.

100564461 is a deficient number, since it is larger than the sum of its proper divisors (44695329).

100564461 is a wasteful number, since it uses less digits than its factorization.

100564461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173835 (or 11173832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100564461 is about 10028.1833349815. The cubic root of 100564461 is about 465.0305772470.

It can be divided in two parts, 100564 and 461, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100564461 in words is "one hundred million, five hundred sixty-four thousand, four hundred sixty-one".