106749390720 has 128 divisors (see below), whose sum is σ = 388872829440. Its totient is φ = 24399857664.

The previous prime is 106749390719. The next prime is 106749390731. The reversal of 106749390720 is 27093947601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106749390720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106749390720.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3957892 + ... + 3984771.

It is an arithmetic number, because the mean of its divisors is an integer number (3038068980).

Almost surely, 2^106749390720 is an apocalyptic number.

106749390720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106749390720 is an abundant number, since it is smaller than the sum of its proper divisors (282123438720).

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

106749390720 is an equidigital number, since it uses as much as digits as its factorization.

106749390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942692 (or 7942680 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 106749390720 in words is "one hundred six billion, seven hundred forty-nine million, three hundred ninety thousand, seven hundred twenty".