107768672 has 48 divisors (see below), whose sum is σ = 232714944. Its totient is φ = 48720000.

The previous prime is 107768671. The next prime is 107768681. The reversal of 107768672 is 276867701.

It is a super-2 number, since 2×107768672² = 23228173329287168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107768671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73547 + ... + 74997.

It is an arithmetic number, because the mean of its divisors is an integer number (4848228).

Almost surely, 2^107768672 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 107768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116357472).

107768672 is an abundant number, since it is smaller than the sum of its proper divisors (124946272).

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

107768672 is a wasteful number, since it uses less digits than its factorization.

107768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 107768672 is about 10381.1691056451. The cubic root of 107768672 is about 475.8800629959.

The spelling of 107768672 in words is "one hundred seven million, seven hundred sixty-eight thousand, six hundred seventy-two".