107187072 has 64 divisors (see below), whose sum is σ = 290822400. Its totient is φ = 34962944.

The previous prime is 107187071. The next prime is 107187077. The reversal of 107187072 is 270781701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×107187072² = 22978136807866368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107187071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15079 + ... + 21017.

It is an arithmetic number, because the mean of its divisors is an integer number (4544100).

Almost surely, 2^107187072 is an apocalyptic number.

107187072 is a gapful number since it is divisible by the number (12) 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 107187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

107187072 is an abundant number, since it is smaller than the sum of its proper divisors (183635328).

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

107187072 is an equidigital number, since it uses as much as digits as its factorization.

107187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 107187072 is about 10353.1189503453. The cubic root of 107187072 is about 475.0224506471.

The spelling of 107187072 in words is "one hundred seven million, one hundred eighty-seven thousand, seventy-two".