10109784288 has 96 divisors (see below), whose sum is σ = 27002626560. Its totient is φ = 3311275520.

The previous prime is 10109784277. The next prime is 10109784299. The reversal of 10109784288 is 88248790101.

It is an interprime number because it is at equal distance from previous prime (10109784277) and next prime (10109784299).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158333 + ... + 2163011.

It is an arithmetic number, because the mean of its divisors is an integer number (281277360).

Almost surely, 2^10109784288 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 10109784288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501313280).

10109784288 is an abundant number, since it is smaller than the sum of its proper divisors (16892842272).

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

10109784288 is a wasteful number, since it uses less digits than its factorization.

10109784288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 10109784288 in words is "ten billion, one hundred nine million, seven hundred eighty-four thousand, two hundred eighty-eight".