105011014626 has 64 divisors (see below), whose sum is σ = 267162255360. Its totient is φ = 29950540560.

The previous prime is 105011014613. The next prime is 105011014663. The reversal of 105011014626 is 626410110501.

105011014626 is a `hidden beast` number, since 1 + 0 + 501 + 10 + 146 + 2 + 6 = 666.

It is a super-2 number, since 2×105011014626² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105011014626.

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 31 ways as a sum of consecutive naturals, for example, 27426 + ... + 459101.

It is an arithmetic number, because the mean of its divisors is an integer number (4174410240).

Almost surely, 2^105011014626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105011014626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133581127680).

105011014626 is an abundant number, since it is smaller than the sum of its proper divisors (162151240734).

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

105011014626 is a wasteful number, since it uses less digits than its factorization.

105011014626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487116 (or 487110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 105011014626 in words is "one hundred five billion, eleven million, fourteen thousand, six hundred twenty-six".