10506100 has 36 divisors (see below), whose sum is σ = 24873408. Its totient is φ = 3820000.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506100 is 160501.

It is a super-2 number, since 2×10506100² = 220756274420000, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3676 + ... + 5875.

It is an arithmetic number, because the mean of its divisors is an integer number (690928).

Almost surely, 2^10506100 is an apocalyptic number.

10506100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506100 is an abundant number, since it is smaller than the sum of its proper divisors (14367308).

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

10506100 is a wasteful number, since it uses less digits than its factorization.

10506100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10506100 is about 3241.3114629730. The cubic root of 10506100 is about 219.0183536532.

Adding to 10506100 its reverse (160501), we get a palindrome (10666601).

The spelling of 10506100 in words is "ten million, five hundred six thousand, one hundred".