107266830336 has 260 divisors, whose sum is σ = 334392922512. Its totient is φ = 34198585344.

The previous prime is 107266830259. The next prime is 107266830343. The reversal of 107266830336 is 633038662701.

It is a super-3 number, since 3×107266830336³ (a number of 34 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107266830291 and 107266830300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7623820 + ... + 7637876.

Almost surely, 2^107266830336 is an apocalyptic number.

107266830336 is a gapful number since it is divisible by the number (16) 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 107266830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167196461256).

107266830336 is an abundant number, since it is smaller than the sum of its proper divisors (227126092176).

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

107266830336 is an equidigital number, since it uses as much as digits as its factorization.

107266830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14116 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 107266830336 in words is "one hundred seven billion, two hundred sixty-six million, eight hundred thirty thousand, three hundred thirty-six".