10077104067400 has 24 divisors (see below), whose sum is σ = 23429266957170. Its totient is φ = 4030841626880.

The previous prime is 10077104067397. The next prime is 10077104067403. The reversal of 10077104067400 is 476040177001.

It is an interprime number because it is at equal distance from previous prime (10077104067397) and next prime (10077104067403).

It can be written as a sum of positive squares in 3 ways, for example, as 9108529225156 + 968574842244 = 3018034^2 + 984162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10077104067400.

It is not an unprimeable number, because it can be changed into a prime (10077104067403) 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 5 ways as a sum of consecutive naturals, for example, 25192759969 + ... + 25192760368.

Almost surely, 2^{10077104067400} is an apocalyptic number.

10077104067400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077104067400 is an abundant number, since it is smaller than the sum of its proper divisors (13352162889770).

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

10077104067400 is a wasteful number, since it uses less digits than its factorization.

10077104067400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50385520353 (or 50385520344 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 10077104067400 in words is "ten trillion, seventy-seven billion, one hundred four million, sixty-seven thousand, four hundred".