102795264 has 288 divisors, whose sum is σ = 359704800. Its totient is φ = 28753920.

The previous prime is 102795239. The next prime is 102795281. The reversal of 102795264 is 462597201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7907322 + ... + 7907334.

It is an arithmetic number, because the mean of its divisors is an integer number (1248975).

Almost surely, 2^102795264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179852400).

102795264 is an abundant number, since it is smaller than the sum of its proper divisors (256909536).

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

102795264 is a wasteful number, since it uses less digits than its factorization.

102795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 102795264 is about 10138.7999289857. The cubic root of 102795264 is about 468.4440230367. Note that the first 3 decimals are identical.

The spelling of 102795264 in words is "one hundred two million, seven hundred ninety-five thousand, two hundred sixty-four".