10146100 has 36 divisors (see below), whose sum is σ = 22160908. Its totient is φ = 4032000.

The previous prime is 10146079. The next prime is 10146119. The reversal of 10146100 is 164101.

It can be written as a sum of positive squares in 6 ways, for example, as 1313316 + 8832784 = 1146^2 + 2972^2 .

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, 23890 + ... + 24310.

Almost surely, 2^10146100 is an apocalyptic number.

10146100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10146100 is an abundant number, since it is smaller than the sum of its proper divisors (12014808).

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

10146100 is a wasteful number, since it uses less digits than its factorization.

10146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10146100 is about 3185.2943349085. The cubic root of 10146100 is about 216.4876101197.

The spelling of 10146100 in words is "ten million, one hundred forty-six thousand, one hundred".