10500007 has 8 divisors (see below), whose sum is σ = 12026016. Its totient is φ = 8980512.

The previous prime is 10499981. The next prime is 10500013. The reversal of 10500007 is 70000501.

10500007 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10500007 - 2¹⁵ = 10467239 is a prime.

It is a super-2 number, since 2×10500007² = 220500294000098, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10500007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553 + ... + 5245.

It is an arithmetic number, because the mean of its divisors is an integer number (1503252).

Almost surely, 2^10500007 is an apocalyptic number.

10500007 is a deficient number, since it is larger than the sum of its proper divisors (1526009).

10500007 is an equidigital number, since it uses as much as digits as its factorization.

10500007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 10500007 is about 3240.3714293272. The cubic root of 10500007 is about 218.9760056557.

Adding to 10500007 its reverse (70000501), we get a palindrome (80500508).

The spelling of 10500007 in words is "ten million, five hundred thousand, seven".