107055144 has 48 divisors (see below), whose sum is σ = 331362720. Its totient is φ = 30587040.

The previous prime is 107055107. The next prime is 107055181. The reversal of 107055144 is 441550701.

It is a happy number.

107055144 is a `hidden beast` number, since 1 + 0 + 70 + 551 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (107055107) and next prime (107055181).

It is a super-2 number, since 2×107055144² = 22921607713721472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105702 + ... + 106709.

It is an arithmetic number, because the mean of its divisors is an integer number (6903390).

Almost surely, 2^107055144 is an apocalyptic number.

107055144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107055144 is an abundant number, since it is smaller than the sum of its proper divisors (224307576).

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

107055144 is a wasteful number, since it uses less digits than its factorization.

107055144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212430 (or 212423 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 107055144 is about 10346.7455753005. The cubic root of 107055144 is about 474.8274815785.

The spelling of 107055144 in words is "one hundred seven million, fifty-five thousand, one hundred forty-four".