102893266944 has 144 divisors (see below), whose sum is σ = 320034978900. Its totient is φ = 31659393024.

The previous prime is 102893266909. The next prime is 102893266961. The reversal of 102893266944 is 449662398201.

102893266944 is a `hidden beast` number, since 10 + 289 + 3 + 266 + 94 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79388697600 + 23504569344 = 281760^2 + 153312^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24912 + ... + 454320.

Almost surely, 2^102893266944 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 102893266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160017489450).

102893266944 is an abundant number, since it is smaller than the sum of its proper divisors (217141711956).

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

102893266944 is a wasteful number, since it uses less digits than its factorization.

102893266944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429450 (or 429427 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 102893266944 in words is "one hundred two billion, eight hundred ninety-three million, two hundred sixty-six thousand, nine hundred forty-four".