10500864 has 108 divisors (see below), whose sum is σ = 30991128. Its totient is φ = 3153920.

The previous prime is 10500851. The next prime is 10500899. The reversal of 10500864 is 46800501.

It is a super-2 number, since 2×10500864² = 220536289492992, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92872 + ... + 92984.

Almost surely, 2^10500864 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 10500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495564).

10500864 is an abundant number, since it is smaller than the sum of its proper divisors (20490264).

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

10500864 is a wasteful number, since it uses less digits than its factorization.

10500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10500864 is about 3240.5036645559. The cubic root of 10500864 is about 218.9819630273.

The spelling of 10500864 in words is "ten million, five hundred thousand, eight hundred sixty-four".