107610768 has 100 divisors (see below), whose sum is σ = 318865008. Its totient is φ = 35017920.

The previous prime is 107610761. The next prime is 107610803. The reversal of 107610768 is 867016701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107610761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54763 + ... + 56693.

Almost surely, 2^107610768 is an apocalyptic number.

107610768 is a gapful number since it is divisible by the number (18) 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 107610768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159432504).

107610768 is an abundant number, since it is smaller than the sum of its proper divisors (211254240).

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

107610768 is a wasteful number, since it uses less digits than its factorization.

107610768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107610768 is about 10373.5610086412. The cubic root of 107610768 is about 475.6475275899.

The spelling of 107610768 in words is "one hundred seven million, six hundred ten thousand, seven hundred sixty-eight".