107085462088 has 256 divisors, whose sum is σ = 247484160000. Its totient is φ = 42863800320.

The previous prime is 107085462083. The next prime is 107085462091. The reversal of 107085462088 is 880264580701.

It is a super-2 number, since 2×107085462088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107085462083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247310320 + ... + 247310752.

It is an arithmetic number, because the mean of its divisors is an integer number (966735000).

Almost surely, 2^107085462088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107085462088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080000).

107085462088 is an abundant number, since it is smaller than the sum of its proper divisors (140398697912).

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

107085462088 is a wasteful number, since it uses less digits than its factorization.

107085462088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

The spelling of 107085462088 in words is "one hundred seven billion, eighty-five million, four hundred sixty-two thousand, eighty-eight".