107287263216 has 360 divisors, whose sum is σ = 375504180480. Its totient is φ = 28420616448.

The previous prime is 107287263179. The next prime is 107287263277. The reversal of 107287263216 is 612362782701.

107287263216 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 7 + 2 + 632 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6292495 + ... + 6309521.

It is an arithmetic number, because the mean of its divisors is an integer number (1043067168).

Almost surely, 2^107287263216 is an apocalyptic number.

107287263216 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 107287263216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187752090240).

107287263216 is an abundant number, since it is smaller than the sum of its proper divisors (268216917264).

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

107287263216 is a wasteful number, since it uses less digits than its factorization.

107287263216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17121 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 107287263216 in words is "one hundred seven billion, two hundred eighty-seven million, two hundred sixty-three thousand, two hundred sixteen".