106888090660 has 96 divisors (see below), whose sum is σ = 245251036800. Its totient is φ = 38892690432.

The previous prime is 106888090651. The next prime is 106888090669. The reversal of 106888090660 is 66090888601.

It is an interprime number because it is at equal distance from previous prime (106888090651) and next prime (106888090669).

It is a super-2 number, since 2×106888090660² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 106888090598 and 106888090607.

It is not an unprimeable number, because it can be changed into a prime (106888090669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39837679 + ... + 39840361.

It is an arithmetic number, because the mean of its divisors is an integer number (2554698300).

Almost surely, 2^106888090660 is an apocalyptic number.

106888090660 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 106888090660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122625518400).

106888090660 is an abundant number, since it is smaller than the sum of its proper divisors (138362946140).

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

106888090660 is a wasteful number, since it uses less digits than its factorization.

106888090660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4875 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 106888090660 in words is "one hundred six billion, eight hundred eighty-eight million, ninety thousand, six hundred sixty".