106259878338759 has 6 divisors (see below), whose sum is σ = 153486490933776. Its totient is φ = 70839918892500.

The previous prime is 106259878338739. The next prime is 106259878338773. The reversal of 106259878338759 is 957833878952601.

106259878338759 is a `hidden beast` number, since 1 + 0 + 6 + 25 + 98 + 7 + 83 + 387 + 59 = 666.

It is not a de Polignac number, because 106259878338759 - 2²⁹ = 106259341467847 is a prime.

It is a super-2 number, since 2×106259878338759² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106259878338709) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5903326574367 + ... + 5903326574384.

It is an arithmetic number, because the mean of its divisors is an integer number (25581081822296).

Almost surely, 2^{106259878338759} is an apocalyptic number.

106259878338759 is a deficient number, since it is larger than the sum of its proper divisors (47226612595017).

106259878338759 is a wasteful number, since it uses less digits than its factorization.

106259878338759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11806653148757 (or 11806653148754 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 106259878338759 in words is "one hundred six trillion, two hundred fifty-nine billion, eight hundred seventy-eight million, three hundred thirty-eight thousand, seven hundred fifty-nine".