10552100 has 36 divisors (see below), whose sum is σ = 24662484. Its totient is φ = 3895680.

The previous prime is 10552097. The next prime is 10552117. The reversal of 10552100 is 125501.

It can be written as a sum of positive squares in 6 ways, for example, as 106276 + 10445824 = 326^2 + 3232^2 .

It is a super-2 number, since 2×10552100² = 222693628820000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2759 + ... + 5358.

It is an arithmetic number, because the mean of its divisors is an integer number (685069).

Almost surely, 2^10552100 is an apocalyptic number.

10552100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10552100 is an abundant number, since it is smaller than the sum of its proper divisors (14110384).

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

10552100 is a wasteful number, since it uses less digits than its factorization.

10552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8144 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 10552100 is about 3248.3996059598. The cubic root of 10552100 is about 219.3375388885.

Adding to 10552100 its reverse (125501), we get a palindrome (10677601).

The spelling of 10552100 in words is "ten million, five hundred fifty-two thousand, one hundred".