106661173248 has 480 divisors, whose sum is σ = 375973678080. Its totient is φ = 29481615360.

The previous prime is 106661173231. The next prime is 106661173273. The reversal of 106661173248 is 842371166601.

It is a super-2 number, since 2×106661173248² (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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35996215 + ... + 35999177.

It is an arithmetic number, because the mean of its divisors is an integer number (783278496).

Almost surely, 2^106661173248 is an apocalyptic number.

106661173248 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 106661173248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187986839040).

106661173248 is an abundant number, since it is smaller than the sum of its proper divisors (269312504832).

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

106661173248 is an equidigital number, since it uses as much as digits as its factorization.

106661173248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106661173248 in words is "one hundred six billion, six hundred sixty-one million, one hundred seventy-three thousand, two hundred forty-eight".