107296269216 has 384 divisors, whose sum is σ = 330408771840. Its totient is φ = 30257971200.

The previous prime is 107296269193. The next prime is 107296269221. The reversal of 107296269216 is 612962692701.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47037996 + ... + 47040276.

It is an arithmetic number, because the mean of its divisors is an integer number (860439510).

Almost surely, 2^107296269216 is an apocalyptic number.

107296269216 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 107296269216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165204385920).

107296269216 is an abundant number, since it is smaller than the sum of its proper divisors (223112502624).

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

107296269216 is a wasteful number, since it uses less digits than its factorization.

107296269216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 107296269216 in words is "one hundred seven billion, two hundred ninety-six million, two hundred sixty-nine thousand, two hundred sixteen".