10696900 has 36 divisors (see below), whose sum is σ = 23787540. Its totient is φ = 4172800.

The previous prime is 10696883. The next prime is 10696913. The reversal of 10696900 is 969601.

It can be written as a sum of positive squares in 6 ways, for example, as 1887876 + 8809024 = 1374^2 + 2968^2 .

It is a super-2 number, since 2×10696900² = 228847339220000, which contains 22 as substring.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2796 + ... + 5404.

It is an arithmetic number, because the mean of its divisors is an integer number (660765).

Almost surely, 2^10696900 is an apocalyptic number.

10696900 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 10696900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893770).

10696900 is an abundant number, since it is smaller than the sum of its proper divisors (13090640).

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

10696900 is a wasteful number, since it uses less digits than its factorization.

10696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 10696900 is about 3270.6115636070. The cubic root of 10696900 is about 220.3362626315.

The spelling of 10696900 in words is "ten million, six hundred ninety-six thousand, nine hundred".