102777074320 has 20 divisors (see below), whose sum is σ = 238956697980. Its totient is φ = 41110829696.

The previous prime is 102777074311. The next prime is 102777074321. The reversal of 102777074320 is 23470777201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74483143056 + 28293931264 = 272916^2 + 168208^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (102777074321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 642356635 + ... + 642356794.

It is an arithmetic number, because the mean of its divisors is an integer number (11947834899).

Almost surely, 2^102777074320 is an apocalyptic number.

102777074320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102777074320 is an abundant number, since it is smaller than the sum of its proper divisors (136179623660).

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

102777074320 is a wasteful number, since it uses less digits than its factorization.

102777074320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284713442 (or 1284713436 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 40.

The spelling of 102777074320 in words is "one hundred two billion, seven hundred seventy-seven million, seventy-four thousand, three hundred twenty".