105400366265 has 64 divisors (see below), whose sum is σ = 140779192320. Its totient is φ = 75397893120.

The previous prime is 105400366249. The next prime is 105400366289. The reversal of 105400366265 is 562663004501.

It is a happy number.

It is not a de Polignac number, because 105400366265 - 2⁴ = 105400366249 is a prime.

It is a super-2 number, since 2×105400366265² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63378824 + ... + 63380486.

It is an arithmetic number, because the mean of its divisors is an integer number (2199674880).

Almost surely, 2^105400366265 is an apocalyptic number.

It is an amenable number.

105400366265 is a deficient number, since it is larger than the sum of its proper divisors (35378826055).

105400366265 is a wasteful number, since it uses less digits than its factorization.

105400366265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 105400366265 in words is "one hundred five billion, four hundred million, three hundred sixty-six thousand, two hundred sixty-five".