105689906784 has 576 divisors, whose sum is σ = 392239088640. Its totient is φ = 27436527360.

The previous prime is 105689906783. The next prime is 105689906807. The reversal of 105689906784 is 487609986501.

105689906784 is a `hidden beast` number, since 1 + 0 + 568 + 9 + 9 + 0 + 67 + 8 + 4 = 666.

It is a super-2 number, since 2×105689906784² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105689906783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59275557 + ... + 59277339.

It is an arithmetic number, because the mean of its divisors is an integer number (680970640).

Almost surely, 2^105689906784 is an apocalyptic number.

105689906784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105689906784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196119544320).

105689906784 is an abundant number, since it is smaller than the sum of its proper divisors (286549181856).

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

105689906784 is an equidigital number, since it uses as much as digits as its factorization.

105689906784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 105689906784 in words is "one hundred five billion, six hundred eighty-nine million, nine hundred six thousand, seven hundred eighty-four".