10507000 has 128 divisors (see below), whose sum is σ = 29952000. Its totient is φ = 3369600.

The previous prime is 10506989. The next prime is 10507027. The reversal of 10507000 is 70501.

It is a super-2 number, since 2×10507000² = 220794098000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132961 + ... + 133039.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 2^10507000 is an apocalyptic number.

10507000 is a gapful number since it is divisible by the number (10) 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 10507000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976000).

10507000 is an abundant number, since it is smaller than the sum of its proper divisors (19445000).

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

10507000 is a wasteful number, since it uses less digits than its factorization.

10507000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

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

The square root of 10507000 is about 3241.4502926931. The cubic root of 10507000 is about 219.0246075085.

Adding to 10507000 its reverse (70501), we get a palindrome (10577501).

The spelling of 10507000 in words is "ten million, five hundred seven thousand".