106336998768 has 960 divisors, whose sum is σ = 392248894464. Its totient is φ = 24385536000.

The previous prime is 106336998749. The next prime is 106336998773. The reversal of 106336998768 is 867899633601.

It is a super-2 number, since 2×106336998768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 106336998699 and 106336998708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1456671180 + ... + 1456671252.

Almost surely, 2^106336998768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106336998768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196124447232).

106336998768 is an abundant number, since it is smaller than the sum of its proper divisors (285911895696).

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

106336998768 is a wasteful number, since it uses less digits than its factorization.

106336998768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 106336998768 in words is "one hundred six billion, three hundred thirty-six million, nine hundred ninety-eight thousand, seven hundred sixty-eight".