10143314100 has 180 divisors, whose sum is σ = 32965663500. Its totient is φ = 2697891840.

The previous prime is 10143314087. The next prime is 10143314101. The reversal of 10143314100 is 141334101.

It can be written as a sum of positive squares in 6 ways, for example, as 4435236 + 10138878864 = 2106^2 + 100692^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143314101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3635506 + ... + 3638294.

It is an arithmetic number, because the mean of its divisors is an integer number (183142575).

Almost surely, 2^10143314100 is an apocalyptic number.

10143314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482831750).

10143314100 is an abundant number, since it is smaller than the sum of its proper divisors (22822349400).

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

10143314100 is a wasteful number, since it uses less digits than its factorization.

10143314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10143314100 its reverse (141334101), we get a palindrome (10284648201).

The spelling of 10143314100 in words is "ten billion, one hundred forty-three million, three hundred fourteen thousand, one hundred".