10902144 has 128 divisors (see below), whose sum is σ = 33048000. Its totient is φ = 3153920.

The previous prime is 10902137. The next prime is 10902149. The reversal of 10902144 is 44120901.

10902144 = T₁₅₅₂ + T₁₅₅₃ + ... + T₁₅₆₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10902144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10902149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122452 + ... + 122540.

Almost surely, 2^10902144 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 10902144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16524000).

10902144 is an abundant number, since it is smaller than the sum of its proper divisors (22145856).

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

10902144 is a wasteful number, since it uses less digits than its factorization.

10902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10902144 is about 3301.8394873161. The cubic root of 10902144 is about 221.7365595142.

The spelling of 10902144 in words is "ten million, nine hundred two thousand, one hundred forty-four".