107768070 has 56 divisors (see below), whose sum is σ = 290860416. Its totient is φ = 28736208.

The previous prime is 107768033. The next prime is 107768077. The reversal of 107768070 is 70867701.

It is a super-2 number, since 2×107768070² = 23227913823049800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107768077) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 102 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (5193936).

Almost surely, 2^107768070 is an apocalyptic number.

107768070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107768070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145430208).

107768070 is an abundant number, since it is smaller than the sum of its proper divisors (183092346).

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

107768070 is an equidigital number, since it uses as much as digits as its factorization.

107768070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14808 (or 14793 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 107768070 is about 10381.1401107971. The cubic root of 107768070 is about 475.8791768994.

The spelling of 107768070 in words is "one hundred seven million, seven hundred sixty-eight thousand, seventy".