107181144 has 80 divisors (see below), whose sum is σ = 343107600. Its totient is φ = 30621888.

The previous prime is 107181143. The next prime is 107181149. The reversal of 107181144 is 441181701.

It is a super-2 number, since 2×107181144² = 22975595258297472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107181143) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7279 + ... + 16350.

It is an arithmetic number, because the mean of its divisors is an integer number (4288845).

Almost surely, 2^107181144 is an apocalyptic number.

107181144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107181144 is an abundant number, since it is smaller than the sum of its proper divisors (235926456).

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

107181144 is a wasteful number, since it uses less digits than its factorization.

107181144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23654 (or 23641 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 107181144 is about 10352.8326558483. The cubic root of 107181144 is about 475.0136934187.

It can be divided in two parts, 1071 and 81144, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 107181144 in words is "one hundred seven million, one hundred eighty-one thousand, one hundred forty-four".