106109495692704 has 1008 divisors, whose sum is σ = 392446688467680. Its totient is φ = 28053181578240.

The previous prime is 106109495692679. The next prime is 106109495692763. The reversal of 106109495692704 is 407296594901601.

106109495692704 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 9 + 49 + 569 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106109495692704² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 933833014 + ... + 933946634.

It is an arithmetic number, because the mean of its divisors is an integer number (389332032210).

Almost surely, 2^{106109495692704} is an apocalyptic number.

106109495692704 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 106109495692704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196223344233840).

106109495692704 is an abundant number, since it is smaller than the sum of its proper divisors (286337192774976).

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

106109495692704 is a wasteful number, since it uses less digits than its factorization.

106109495692704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113725 (or 113695 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 106109495692704 in words is "one hundred six trillion, one hundred nine billion, four hundred ninety-five million, six hundred ninety-two thousand, seven hundred four".