106830056088 has 256 divisors, whose sum is σ = 342798336000. Its totient is φ = 30195389952.

The previous prime is 106830056077. The next prime is 106830056093. The reversal of 106830056088 is 880650038601.

106830056088 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 0 + 0 + 560 + 88 = 666.

It is a super-2 number, since 2×106830056088² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97739670 + ... + 97740762.

It is an arithmetic number, because the mean of its divisors is an integer number (1339056000).

Almost surely, 2^106830056088 is an apocalyptic number.

106830056088 is a gapful number since it is divisible by the number (18) 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 106830056088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171399168000).

106830056088 is an abundant number, since it is smaller than the sum of its proper divisors (235968279912).

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

106830056088 is a wasteful number, since it uses less digits than its factorization.

106830056088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 106830056088 in words is "one hundred six billion, eight hundred thirty million, fifty-six thousand, eighty-eight".