1107006120 has 192 divisors, whose sum is σ = 4131691200. Its totient is φ = 254223360.

The previous prime is 1107006113. The next prime is 1107006127. The reversal of 1107006120 is 216007011.

It is an interprime number because it is at equal distance from previous prime (1107006113) and next prime (1107006127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1107006093 and 1107006102.

It is not an unprimeable number, because it can be changed into a prime (1107006127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67884 + ... + 82596.

It is an arithmetic number, because the mean of its divisors is an integer number (21519225).

Almost surely, 2^1107006120 is an apocalyptic number.

1107006120 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 1107006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065845600).

1107006120 is an abundant number, since it is smaller than the sum of its proper divisors (3024685080).

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

1107006120 is a wasteful number, since it uses less digits than its factorization.

1107006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14753 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1107006120 is about 33271.7014894039. The cubic root of 1107006120 is about 1034.4670784428.

The spelling of 1107006120 in words is "one billion, one hundred seven million, six thousand, one hundred twenty".