10500672 has 112 divisors (see below), whose sum is σ = 34251392. Its totient is φ = 2764800.

The previous prime is 10500647. The next prime is 10500701. The reversal of 10500672 is 27600501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10500672² = 220528224903168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 17172 + ... + 17772.

It is an arithmetic number, because the mean of its divisors is an integer number (305816).

Almost surely, 2^10500672 is an apocalyptic number.

10500672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17125696).

10500672 is an abundant number, since it is smaller than the sum of its proper divisors (23750720).

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

10500672 is a wasteful number, since it uses less digits than its factorization.

10500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 10500672 is about 3240.4740393961. The cubic root of 10500672 is about 218.9806283818.

The spelling of 10500672 in words is "ten million, five hundred thousand, six hundred seventy-two".