107802816 has 56 divisors (see below), whose sum is σ = 311164224. Its totient is φ = 32666880.

The previous prime is 107802811. The next prime is 107802839. The reversal of 107802816 is 618208701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (107802811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23410 + ... + 27633.

It is an arithmetic number, because the mean of its divisors is an integer number (5556504).

Almost surely, 2^107802816 is an apocalyptic number.

107802816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107802816 is an abundant number, since it is smaller than the sum of its proper divisors (203361408).

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

107802816 is a wasteful number, since it uses less digits than its factorization.

107802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51069 (or 51059 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 107802816 is about 10382.8134915349. The cubic root of 107802816 is about 475.9303148700.

The spelling of 107802816 in words is "one hundred seven million, eight hundred two thousand, eight hundred sixteen".