10626100 has 18 divisors (see below), whose sum is σ = 23058854. Its totient is φ = 4250400.

The previous prime is 10626061. The next prime is 10626103. The reversal of 10626100 is 162601.

It can be written as a sum of positive squares in 3 ways, for example, as 206116 + 10419984 = 454^2 + 3228^2 .

It is a super-2 number, since 2×10626100² = 225828002420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10626103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53031 + ... + 53230.

Almost surely, 2^10626100 is an apocalyptic number.

10626100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10626100 is an abundant number, since it is smaller than the sum of its proper divisors (12432754).

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

10626100 is a wasteful number, since it uses less digits than its factorization.

10626100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106275 (or 106268 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10626100 is about 3259.7699305319. The cubic root of 10626100 is about 219.8490700326.

Adding to 10626100 its reverse (162601), we get a palindrome (10788701).

It can be divided in two parts, 1062 and 6100, that multiplied together give a triangular number (6478200 = T₃₅₉₉).

The spelling of 10626100 in words is "ten million, six hundred twenty-six thousand, one hundred".