100776164804681 has 8 divisors (see below), whose sum is σ = 106708192907400. Its totient is φ = 94844583191808.

The previous prime is 100776164804621. The next prime is 100776164804713. The reversal of 100776164804681 is 186408461677001.

It can be written as a sum of positive squares in 4 ways, for example, as 14640763005625 + 86135401799056 = 3826325^2 + 9280916^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100776164804681 is a prime.

It is a super-2 number, since 2×100776164804681² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100776164804681.

It is not an unprimeable number, because it can be changed into a prime (100776164804621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111157706 + ... + 112060643.

It is an arithmetic number, because the mean of its divisors is an integer number (13338524113425).

Almost surely, 2^{100776164804681} is an apocalyptic number.

It is an amenable number.

100776164804681 is a deficient number, since it is larger than the sum of its proper divisors (5932028102719).

100776164804681 is a wasteful number, since it uses less digits than its factorization.

100776164804681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223244923.

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 100776164804681 in words is "one hundred trillion, seven hundred seventy-six billion, one hundred sixty-four million, eight hundred four thousand, six hundred eighty-one".