101868406768144 has 45 divisors (see below), whose sum is σ = 197623092976813. Its totient is φ = 50868982495616.

The previous prime is 101868406768109. The next prime is 101868406768147. The reversal of 101868406768144 is 441867604868101.

The square root of 101868406768144 is 10092988.

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

It can be written as a sum of positive squares in only one way, i.e., 88692319875600 + 13176086892544 = 9417660^2 + 3629888^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101868406768147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53250603732 + ... + 53250605644.

Almost surely, 2^{101868406768144} is an apocalyptic number.

101868406768144 is the 10092988-th square number.

It is an amenable number.

101868406768144 is a deficient number, since it is larger than the sum of its proper divisors (95754686208669).

101868406768144 is an frugal number, since it uses more digits than its factorization.

101868406768144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 64.

The spelling of 101868406768144 in words is "one hundred one trillion, eight hundred sixty-eight billion, four hundred six million, seven hundred sixty-eight thousand, one hundred forty-four".