102775760 has 40 divisors (see below), whose sum is σ = 241089480. Its totient is φ = 40742912.

The previous prime is 102775759. The next prime is 102775787. The reversal of 102775760 is 67577201.

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 102657424 = 344^2 + 10132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 102775760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3356 + ... + 14724.

It is an arithmetic number, because the mean of its divisors is an integer number (6027237).

Almost surely, 2^102775760 is an apocalyptic number.

102775760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102775760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120544740).

102775760 is an abundant number, since it is smaller than the sum of its proper divisors (138313720).

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

102775760 is a wasteful number, since it uses less digits than its factorization.

102775760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11495 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 102775760 is about 10137.8380338216. The cubic root of 102775760 is about 468.4143942070.

The spelling of 102775760 in words is "one hundred two million, seven hundred seventy-five thousand, seven hundred sixty".