71615112100 has 81 divisors (see below), whose sum is σ = 180824303457. Its totient is φ = 24547330080.

The previous prime is 71615112097. The next prime is 71615112119. The reversal of 71615112100 is 121151617.

The square root of 71615112100 is 267610.

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

It can be written as a sum of positive squares in only one way, i.e., 25781440356 + 45833671744 = 160566^2 + 214088^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18730789 + ... + 18734611.

Almost surely, 2^71615112100 is an apocalyptic number.

71615112100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

71615112100 is the 267610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71615112100

71615112100 is an abundant number, since it is smaller than the sum of its proper divisors (109209191357).

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

71615112100 is an equidigital number, since it uses as much as digits as its factorization.

71615112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 25.

Multiplying 71615112100 by its sum of digits (25), we get a square (1790377802500 = 1338050²).

71615112100 divided by its sum of digits (25) gives a square (2864604484 = 53522²).

Adding to 71615112100 its reverse (121151617), we get a palindrome (71736263717).

The spelling of 71615112100 in words is "seventy-one billion, six hundred fifteen million, one hundred twelve thousand, one hundred".