106150696278916 has 81 divisors (see below), whose sum is σ = 197771711993037. Its totient is φ = 49849773926400.

The previous prime is 106150696278881. The next prime is 106150696278967. The reversal of 106150696278916 is 619872696051601.

The square root of 106150696278916 is 10302946.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5419444320900 + 100731251958016 = 2327970^2 + 10036496^2 .

It is a super-2 number, since 2×106150696278916² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 22110119716 + ... + 22110124516.

Almost surely, 2^{106150696278916} is an apocalyptic number.

106150696278916 is the 10302946-th square number.

It is an amenable number.

106150696278916 is a deficient number, since it is larger than the sum of its proper divisors (91621015714121).

106150696278916 is an frugal number, since it uses more digits than its factorization.

106150696278916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9738 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 67.

The spelling of 106150696278916 in words is "one hundred six trillion, one hundred fifty billion, six hundred ninety-six million, two hundred seventy-eight thousand, nine hundred sixteen".