10114100 has 18 divisors (see below), whose sum is σ = 21947814. Its totient is φ = 4045600.

The previous prime is 10114081. The next prime is 10114129. The reversal of 10114100 is 141101.

It can be written as a sum of positive squares in 3 ways, for example, as 1669264 + 8444836 = 1292^2 + 2906^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50471 + ... + 50670.

It is an arithmetic number, because the mean of its divisors is an integer number (1219323).

Almost surely, 2^10114100 is an apocalyptic number.

10114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114100 is an abundant number, since it is smaller than the sum of its proper divisors (11833714).

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

10114100 is a wasteful number, since it uses less digits than its factorization.

10114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101155 (or 101148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 10114100 is about 3180.2672843646. The cubic root of 10114100 is about 216.2597754722.

Adding to 10114100 its reverse (141101), we get a palindrome (10255201).

The spelling of 10114100 in words is "ten million, one hundred fourteen thousand, one hundred".