106235968608 has 1344 divisors, whose sum is σ = 428358067200. Its totient is φ = 25604812800.

The previous prime is 106235968543. The next prime is 106235968609. The reversal of 106235968608 is 806869532601.

It is a happy number.

106235968608 is a `hidden beast` number, since 1 + 0 + 6 + 23 + 5 + 9 + 6 + 8 + 608 = 666.

It is a super-2 number, since 2×106235968608² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235968609) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1496281213 + ... + 1496281283.

It is an arithmetic number, because the mean of its divisors is an integer number (318718800).

Almost surely, 2^106235968608 is an apocalyptic number.

106235968608 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 106235968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214179033600).

106235968608 is an abundant number, since it is smaller than the sum of its proper divisors (322122098592).

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

106235968608 is an equidigital number, since it uses as much as digits as its factorization.

106235968608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 106235968608 in words is "one hundred six billion, two hundred thirty-five million, nine hundred sixty-eight thousand, six hundred eight".