10714320100 has 81 divisors (see below), whose sum is σ = 25583054203. Its totient is φ = 3891976000.

The previous prime is 10714320073. The next prime is 10714320101. The reversal of 10714320100 is 102341701.

The square root of 10714320100 is 103510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4553956 + 10709766144 = 2134^2 + 103488^2 .

It is a super-2 number, since 2×10714320100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10714320101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11385630 + ... + 11386570.

Almost surely, 2^10714320100 is an apocalyptic number.

10714320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10714320100 is the 103510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10714320100

10714320100 is an abundant number, since it is smaller than the sum of its proper divisors (14868734103).

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

10714320100 is an equidigital number, since it uses as much as digits as its factorization.

10714320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 10714320100 its reverse (102341701), we get a palindrome (10816661801).

The spelling of 10714320100 in words is "ten billion, seven hundred fourteen million, three hundred twenty thousand, one hundred".