105402362661 has 12 divisors (see below), whose sum is σ = 152350124940. Its totient is φ = 70221041280.

The previous prime is 105402362651. The next prime is 105402362669. The reversal of 105402362661 is 166263204501.

105402362661 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 23 + 626 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16788384900 + 88613977761 = 129570^2 + 297681^2 .

It is not a de Polignac number, because 105402362661 - 2⁵ = 105402362629 is a prime.

It is a super-2 number, since 2×105402362661² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105402362669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3919230 + ... + 3946031.

It is an arithmetic number, because the mean of its divisors is an integer number (12695843745).

Almost surely, 2^105402362661 is an apocalyptic number.

It is an amenable number.

105402362661 is a deficient number, since it is larger than the sum of its proper divisors (46947762279).

105402362661 is a wasteful number, since it uses less digits than its factorization.

105402362661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866756 (or 7866753 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 105402362661 in words is "one hundred five billion, four hundred two million, three hundred sixty-two thousand, six hundred sixty-one".