107078144 has 40 divisors (see below), whose sum is σ = 214993680. Its totient is φ = 53277696.

The previous prime is 107078131. The next prime is 107078149. The reversal of 107078144 is 441870701.

It is a super-2 number, since 2×107078144² = 22931457844969472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 107078144.

It is not an unprimeable number, because it can be changed into a prime (107078149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 144527 + ... + 145265.

It is an arithmetic number, because the mean of its divisors is an integer number (5374842).

Almost surely, 2^107078144 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 107078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107496840).

107078144 is an abundant number, since it is smaller than the sum of its proper divisors (107915536).

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

107078144 is an frugal number, since it uses more digits than its factorization.

107078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 107078144 is about 10347.8569762053. The cubic root of 107078144 is about 474.8614835257.

The spelling of 107078144 in words is "one hundred seven million, seventy-eight thousand, one hundred forty-four".