106008698880 has 336 divisors, whose sum is σ = 419980957344. Its totient is φ = 24229969920.

The previous prime is 106008698863. The next prime is 106008698893. The reversal of 106008698880 is 88896800601.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106008698880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2559940 + ... + 2601020.

Almost surely, 2^106008698880 is an apocalyptic number.

106008698880 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 106008698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209990478672).

106008698880 is an abundant number, since it is smaller than the sum of its proper divisors (313972258464).

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

106008698880 is an equidigital number, since it uses as much as digits as its factorization.

106008698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41125 (or 41098 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 106008698880 in words is "one hundred six billion, eight million, six hundred ninety-eight thousand, eight hundred eighty".