1107205120 has 88 divisors (see below), whose sum is σ = 3035520864. Its totient is φ = 379600896.

The previous prime is 1107205117. The next prime is 1107205129. The reversal of 1107205120 is 215027011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107205129) 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 7 ways as a sum of consecutive naturals, for example, 20394 + ... + 51286.

Almost surely, 2^1107205120 is an apocalyptic number.

1107205120 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 1107205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517760432).

1107205120 is an abundant number, since it is smaller than the sum of its proper divisors (1928315744).

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

1107205120 is an equidigital number, since it uses as much as digits as its factorization.

1107205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30925 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 1107205120 is about 33274.6918843736. The cubic root of 1107205120 is about 1034.5290614228.

The spelling of 1107205120 in words is "one billion, one hundred seven million, two hundred five thousand, one hundred twenty".