107116000 has 96 divisors (see below), whose sum is σ = 268107840. Its totient is φ = 42048000.

The previous prime is 107115959. The next prime is 107116027. The reversal of 107116000 is 611701.

It is a super-2 number, since 2×107116000² = 22947674912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243781 + ... + 244219.

It is an arithmetic number, because the mean of its divisors is an integer number (2792790).

Almost surely, 2^107116000 is an apocalyptic number.

107116000 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 107116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

107116000 is an abundant number, since it is smaller than the sum of its proper divisors (160991840).

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

107116000 is an equidigital number, since it uses as much as digits as its factorization.

107116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 16.

The square root of 107116000 is about 10349.6859855746. The cubic root of 107116000 is about 474.9174371736.

Adding to 107116000 its reverse (611701), we get a palindrome (107727701).

It can be divided in two parts, 1071 and 16000, that added together give a palindrome (17071).

The spelling of 107116000 in words is "one hundred seven million, one hundred sixteen thousand".