107826188721104 has 60 divisors (see below), whose sum is σ = 244379187302400. Its totient is φ = 45953060416704.

The previous prime is 107826188721091. The next prime is 107826188721107. The reversal of 107826188721104 is 401127881628701.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 107826188721104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107826188721107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 384031184 + ... + 384311855.

It is an arithmetic number, because the mean of its divisors is an integer number (4072986455040).

Almost surely, 2^{107826188721104} is an apocalyptic number.

107826188721104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107826188721104 is an abundant number, since it is smaller than the sum of its proper divisors (136552998581296).

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

107826188721104 is a wasteful number, since it uses less digits than its factorization.

107826188721104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768343240 (or 768343227 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 56.

The spelling of 107826188721104 in words is "one hundred seven trillion, eight hundred twenty-six billion, one hundred eighty-eight million, seven hundred twenty-one thousand, one hundred four".