10014100 has 36 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 3979360.

The previous prime is 10014097. The next prime is 10014113. The reversal of 10014100 is 141001.

It is a happy number.

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, 23691 + ... + 24109.

It is an arithmetic number, because the mean of its divisors is an integer number (607600).

Almost surely, 2^10014100 is an apocalyptic number.

10014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10014100 is an abundant number, since it is smaller than the sum of its proper divisors (11859500).

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

10014100 is a wasteful number, since it uses less digits than its factorization.

10014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10014100 is about 3164.5062806068. The cubic root of 10014100 is about 215.5446798794.

Adding to 10014100 its reverse (141001), we get a palindrome (10155101).

The spelling of 10014100 in words is "ten million, fourteen thousand, one hundred".