10501000 has 32 divisors (see below), whose sum is σ = 24574680. Its totient is φ = 4200000.

The previous prime is 10500991. The next prime is 10501009. The reversal of 10501000 is 10501.

It is an interprime number because it is at equal distance from previous prime (10500991) and next prime (10501009).

It can be written as a sum of positive squares in 4 ways, for example, as 2125764 + 8375236 = 1458^2 + 2894^2 .

It is a super-2 number, since 2×10501000² = 220542002000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10501009) 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, 4251 + ... + 6250.

Almost surely, 2^10501000 is an apocalyptic number.

10501000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10501000 is an abundant number, since it is smaller than the sum of its proper divisors (14073680).

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

10501000 is a wasteful number, since it uses less digits than its factorization.

10501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 10501000 is about 3240.5246488802. The cubic root of 10501000 is about 218.9829083914.

Adding to 10501000 its reverse (10501), we get a palindrome (10511501).

10501000 divided by its reverse (10501) gives a cube (1000 = 10³).

The spelling of 10501000 in words is "ten million, five hundred one thousand".