107286382116 has 135 divisors (see below), whose sum is σ = 290301543147. Its totient is φ = 34549552080.

The previous prime is 107286382097. The next prime is 107286382141. The reversal of 107286382116 is 611283682701.

The square root of 107286382116 is 327546.

It is a perfect power (a square), and thus also a powerful number.

107286382116 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 8 + 638 + 2 + 1 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 182770375 + ... + 182770961.

Almost surely, 2^107286382116 is an apocalyptic number.

107286382116 is the 327546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107286382116

107286382116 is an abundant number, since it is smaller than the sum of its proper divisors (183015161031).

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

107286382116 is an frugal number, since it uses more digits than its factorization.

107286382116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 107286382116 in words is "one hundred seven billion, two hundred eighty-six million, three hundred eighty-two thousand, one hundred sixteen".