106100425049568 has 192 divisors, whose sum is σ = 303558418255680. Its totient is φ = 32321675722752.

The previous prime is 106100425049557. The next prime is 106100425049603. The reversal of 106100425049568 is 865940524001601.

It is a super-2 number, since 2×106100425049568² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 106100425049568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2067168 + ... + 14713056.

It is an arithmetic number, because the mean of its divisors is an integer number (1581033428415).

Almost surely, 2^{106100425049568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106100425049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151779209127840).

106100425049568 is an abundant number, since it is smaller than the sum of its proper divisors (197457993206112).

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

106100425049568 is a wasteful number, since it uses less digits than its factorization.

106100425049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12646069 (or 12646061 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 106100425049568 in words is "one hundred six trillion, one hundred billion, four hundred twenty-five million, forty-nine thousand, five hundred sixty-eight".