106937397830916 has 189 divisors, whose sum is σ = 296156425200951. Its totient is φ = 33766354076688.

The previous prime is 106937397830909. The next prime is 106937397830957. The reversal of 106937397830916 is 619038793739601.

The square root of 106937397830916 is 10341054.

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

106937397830916 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 373 + 97 + 83 + 0 + 91 + 6 = 666.

It is a super-2 number, since 2×106937397830916² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 10609916365 + ... + 10609926443.

Almost surely, 2^{106937397830916} is an apocalyptic number.

106937397830916 is the 10341054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106937397830916

106937397830916 is an abundant number, since it is smaller than the sum of its proper divisors (189219027370035).

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

106937397830916 is an frugal number, since it uses more digits than its factorization.

106937397830916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20218 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 277766496, while the sum is 72.

The spelling of 106937397830916 in words is "one hundred six trillion, nine hundred thirty-seven billion, three hundred ninety-seven million, eight hundred thirty thousand, nine hundred sixteen".