105213786007 has 16 divisors (see below), whose sum is σ = 118779807744. Its totient is φ = 92330172000.

The previous prime is 105213785987. The next prime is 105213786011. The reversal of 105213786007 is 700687312501.

It is not a de Polignac number, because 105213786007 - 2¹⁹ = 105213261719 is a prime.

It is a super-2 number, since 2×105213786007² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105213786037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253219 + ... + 523972.

It is an arithmetic number, because the mean of its divisors is an integer number (7423737984).

Almost surely, 2^105213786007 is an apocalyptic number.

105213786007 is a deficient number, since it is larger than the sum of its proper divisors (13566021737).

105213786007 is a wasteful number, since it uses less digits than its factorization.

105213786007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777630.

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 105213786007 in words is "one hundred five billion, two hundred thirteen million, seven hundred eighty-six thousand, seven".