100674417320777 has 12 divisors (see below), whose sum is σ = 107498914429116. Its totient is φ = 94261447680000.

The previous prime is 100674417320761. The next prime is 100674417320791. The reversal of 100674417320777 is 777023714476001.

It can be written as a sum of positive squares in 6 ways, for example, as 76807133881 + 100597610186896 = 277141^2 + 10029836^2 .

It is not a de Polignac number, because 100674417320777 - 2⁴ = 100674417320761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100674417320707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902416724 + ... + 902528277.

It is an arithmetic number, because the mean of its divisors is an integer number (8958242869093).

Almost surely, 2^{100674417320777} is an apocalyptic number.

100674417320777 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100674417320777 is a deficient number, since it is larger than the sum of its proper divisors (6824497108339).

100674417320777 is a wasteful number, since it uses less digits than its factorization.

100674417320777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804945228 (or 1804945211 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 56.

The spelling of 100674417320777 in words is "one hundred trillion, six hundred seventy-four billion, four hundred seventeen million, three hundred twenty thousand, seven hundred seventy-seven".