105064886745 has 192 divisors, whose sum is σ = 232587264000. Its totient is φ = 42679042560.

The previous prime is 105064886743. The next prime is 105064886749. The reversal of 105064886745 is 547688460501.

105064886745 is a `hidden beast` number, since 10 + 50 + 6 + 488 + 67 + 45 = 666.

It is not a de Polignac number, because 105064886745 - 2¹ = 105064886743 is a prime.

It is a super-2 number, since 2×105064886745² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105064886691 and 105064886700.

It is not an unprimeable number, because it can be changed into a prime (105064886743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25259976 + ... + 25264134.

It is an arithmetic number, because the mean of its divisors is an integer number (1211392000).

Almost surely, 2^105064886745 is an apocalyptic number.

105064886745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105064886745 is an abundant number, since it is smaller than the sum of its proper divisors (127522377255).

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

105064886745 is a wasteful number, since it uses less digits than its factorization.

105064886745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 105064886745 in words is "one hundred five billion, sixty-four million, eight hundred eighty-six thousand, seven hundred forty-five".