107090688 has 144 divisors (see below), whose sum is σ = 309052800. Its totient is φ = 32808960.

The previous prime is 107090681. The next prime is 107090717. The reversal of 107090688 is 886090701.

It is a super-2 number, since 2×107090688² = 22936830912626688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107090681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598183 + ... + 598361.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^107090688 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 107090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

107090688 is an abundant number, since it is smaller than the sum of its proper divisors (201962112).

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

107090688 is a wasteful number, since it uses less digits than its factorization.

107090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 107090688 is about 10348.4630742927. The cubic root of 107090688 is about 474.8800258402.

The spelling of 107090688 in words is "one hundred seven million, ninety thousand, six hundred eighty-eight".