10709000 has 32 divisors (see below), whose sum is σ = 25061400. Its totient is φ = 4283200.

The previous prime is 10708993. The next prime is 10709009. The reversal of 10709000 is 90701.

It can be written as a sum of positive squares in 4 ways, for example, as 6240004 + 4468996 = 2498^2 + 2114^2 .

It is a super-2 number, since 2×10709000² = 229365362000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10709000.

It is not an unprimeable number, because it can be changed into a prime (10709009) 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, 4355 + ... + 6354.

Almost surely, 2^10709000 is an apocalyptic number.

10709000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10709000 is an abundant number, since it is smaller than the sum of its proper divisors (14352400).

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

10709000 is a wasteful number, since it uses less digits than its factorization.

10709000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10730 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 10709000 is about 3272.4608477413. The cubic root of 10709000 is about 220.4193104974.

Adding to 10709000 its reverse (90701), we get a palindrome (10799701).

The spelling of 10709000 in words is "ten million, seven hundred nine thousand".