10119264 has 48 divisors (see below), whose sum is σ = 27724032. Its totient is φ = 3225728.

The previous prime is 10119259. The next prime is 10119283. The reversal of 10119264 is 46291101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (577584).

Almost surely, 2^10119264 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 10119264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862016).

10119264 is an abundant number, since it is smaller than the sum of its proper divisors (17604768).

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

10119264 is a wasteful number, since it uses less digits than its factorization.

10119264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10119264 is about 3181.0790622052. The cubic root of 10119264 is about 216.2965747745.

The spelling of 10119264 in words is "ten million, one hundred nineteen thousand, two hundred sixty-four".