71103289104 has 135 divisors (see below), whose sum is σ = 206884813863. Its totient is φ = 23672297952.

The previous prime is 71103289093. The next prime is 71103289121. The reversal of 71103289104 is 40198230117.

It is a happy number.

The square root of 71103289104 is 266652.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86394837 + ... + 86395659.

Almost surely, 2^71103289104 is an apocalyptic number.

71103289104 is the 266652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71103289104

71103289104 is an abundant number, since it is smaller than the sum of its proper divisors (135781524759).

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

71103289104 is an frugal number, since it uses more digits than its factorization.

71103289104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 71103289104 by its sum of digits (36), we get a square (2559718407744 = 1599912²).

71103289104 divided by its sum of digits (36) gives a square (1975091364 = 44442²).

The spelling of 71103289104 in words is "seventy-one billion, one hundred three million, two hundred eighty-nine thousand, one hundred four".