102755277760 has 56 divisors (see below), whose sum is σ = 253123476480. Its totient is φ = 39684793344.

The previous prime is 102755277719. The next prime is 102755277761. The reversal of 102755277760 is 67772557201.

It is a happy number.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102755277761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5527104 + ... + 5545663.

It is an arithmetic number, because the mean of its divisors is an integer number (4520062080).

Almost surely, 2^102755277760 is an apocalyptic number.

102755277760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102755277760 is an abundant number, since it is smaller than the sum of its proper divisors (150368198720).

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

102755277760 is a wasteful number, since it uses less digits than its factorization.

102755277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11072813 (or 11072803 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 49.

The spelling of 102755277760 in words is "one hundred two billion, seven hundred fifty-five million, two hundred seventy-seven thousand, seven hundred sixty".