1107086400 has 504 divisors, whose sum is σ = 4703612640. Its totient is φ = 252564480.

The previous prime is 1107086381. The next prime is 1107086413. The reversal of 1107086400 is 46807011.

It is a happy number.

1107086400 is a `hidden beast` number, since 1 + 10 + 7 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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 71 ways as a sum of consecutive naturals, for example, 2116539 + ... + 2117061.

Almost surely, 2^1107086400 is an apocalyptic number.

1107086400 is a gapful number since it is divisible by the number (10) 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 1107086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351806320).

1107086400 is an abundant number, since it is smaller than the sum of its proper divisors (3596526240).

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

1107086400 is a wasteful number, since it uses less digits than its factorization.

1107086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1107086400 is about 33272.9078981684. The cubic root of 1107086400 is about 1034.4920843297.

The spelling of 1107086400 in words is "one billion, one hundred seven million, eighty-six thousand, four hundred".