105051407085 has 32 divisors (see below), whose sum is σ = 186976183680. Its totient is φ = 55961979264.

The previous prime is 105051407033. The next prime is 105051407107. The reversal of 105051407085 is 580704150501.

105051407085 is a `hidden beast` number, since 1 + 0 + 505 + 1 + 4 + 0 + 70 + 85 = 666.

It is not a de Polignac number, because 105051407085 - 2²⁷ = 104917189357 is a prime.

It is a super-2 number, since 2×105051407085² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 338307 + ... + 569696.

It is an arithmetic number, because the mean of its divisors is an integer number (5843005740).

Almost surely, 2^105051407085 is an apocalyptic number.

105051407085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105051407085 is a deficient number, since it is larger than the sum of its proper divisors (81924776595).

105051407085 is an equidigital number, since it uses as much as digits as its factorization.

105051407085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908874 (or 908868 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

Adding to 105051407085 its reverse (580704150501), we get a palindrome (685755557586).

The spelling of 105051407085 in words is "one hundred five billion, fifty-one million, four hundred seven thousand, eighty-five".