107699040 has 144 divisors (see below), whose sum is σ = 380343600. Its totient is φ = 27718656.

The previous prime is 107698993. The next prime is 107699071. The reversal of 107699040 is 40996701.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 107698986 and 107699004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40471 + ... + 43049.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 2^107699040 is an apocalyptic number.

107699040 is a gapful number since it is divisible by the number (10) 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 107699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190171800).

107699040 is an abundant number, since it is smaller than the sum of its proper divisors (272644560).

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

107699040 is a wasteful number, since it uses less digits than its factorization.

107699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107699040 is about 10377.8147988871. The cubic root of 107699040 is about 475.7775482940. Note that the first 3 decimals are identical.

The spelling of 107699040 in words is "one hundred seven million, six hundred ninety-nine thousand, forty".