10660100 has 54 divisors (see below), whose sum is σ = 25455402. Its totient is φ = 3872000.

The previous prime is 10660099. The next prime is 10660127. The reversal of 10660100 is 106601.

It can be written as a sum of positive squares in 3 ways, for example, as 58564 + 10601536 = 242^2 + 3256^2 .

It is a super-2 number, since 2×10660100² = 227275464020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11660 + ... + 12540.

Almost surely, 2^10660100 is an apocalyptic number.

10660100 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 10660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727701).

10660100 is an abundant number, since it is smaller than the sum of its proper divisors (14795302).

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

10660100 is a wasteful number, since it uses less digits than its factorization.

10660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10660100 is about 3264.9808575243. The cubic root of 10660100 is about 220.0833017876.

Adding to 10660100 its reverse (106601), we get a palindrome (10766701).

Multiplying 10660100 by its reverse (106601), we get a square (1136377320100 = 1066010²).

10660100 divided by its reverse (106601) gives a square (100 = 10²).

It can be divided in two parts, 106 and 60100, that added together give a palindrome (60206).

The spelling of 10660100 in words is "ten million, six hundred sixty thousand, one hundred".