105607764 has 18 divisors (see below), whose sum is σ = 266953050. Its totient is φ = 35202576.

The previous prime is 105607751. The next prime is 105607769. The reversal of 105607764 is 467706501.

It can be written as a sum of positive squares in only one way, i.e., 87048900 + 18558864 = 9330^2 + 4308^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105607764² = 22305999634159392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2933549 = 105607764 / (1 + 0 + 5 + 6 + 0 + 7 + 7 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105607769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1466739 + ... + 1466810.

It is an arithmetic number, because the mean of its divisors is an integer number (14830725).

Almost surely, 2^105607764 is an apocalyptic number.

It is an amenable number.

105607764 is an abundant number, since it is smaller than the sum of its proper divisors (161345286).

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

105607764 is a wasteful number, since it uses less digits than its factorization.

105607764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933559 (or 2933554 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 105607764 is about 10276.5638226014. The cubic root of 105607764 is about 472.6778838083.

The spelling of 105607764 in words is "one hundred five million, six hundred seven thousand, seven hundred sixty-four".