1107166144 has 56 divisors (see below), whose sum is σ = 2518367328. Its totient is φ = 473088000.

The previous prime is 1107166139. The next prime is 1107166153. The reversal of 1107166144 is 4416617011.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 154644 + ... + 161644.

Almost surely, 2^1107166144 is an apocalyptic number.

1107166144 is a gapful number since it is divisible by the number (14) 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 1107166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259183664).

1107166144 is an abundant number, since it is smaller than the sum of its proper divisors (1411201184).

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

1107166144 is an equidigital number, since it uses as much as digits as its factorization.

1107166144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7373 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 1107166144 is about 33274.1062088826. The cubic root of 1107166144 is about 1034.5169220648.

The spelling of 1107166144 in words is "one billion, one hundred seven million, one hundred sixty-six thousand, one hundred forty-four".