105366626361 has 64 divisors (see below), whose sum is σ = 164063232000. Its totient is φ = 66750566400.

The previous prime is 105366626329. The next prime is 105366626411. The reversal of 105366626361 is 163626663501.

It is not a de Polignac number, because 105366626361 - 2⁵ = 105366626329 is a prime.

It is a super-2 number, since 2×105366626361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105366621361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15269290 + ... + 15276188.

It is an arithmetic number, because the mean of its divisors is an integer number (2563488000).

Almost surely, 2^105366626361 is an apocalyptic number.

It is an amenable number.

105366626361 is a deficient number, since it is larger than the sum of its proper divisors (58696605639).

105366626361 is a wasteful number, since it uses less digits than its factorization.

105366626361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7261 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 105366626361 in words is "one hundred five billion, three hundred sixty-six million, six hundred twenty-six thousand, three hundred sixty-one".