31029527104 has 63 divisors (see below), whose sum is σ = 62490832473. Its totient is φ = 15287175168.

The previous prime is 31029527101. The next prime is 31029527129. The reversal of 31029527104 is 40172592013.

It is a happy number.

The square root of 31029527104 is 176152.

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., 13933441600 + 17096085504 = 118040^2 + 130752^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31029527104.

It is not an unprimeable number, because it can be changed into a prime (31029527101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 136693839 + ... + 136694065.

Almost surely, 2^31029527104 is an apocalyptic number.

31029527104 is the 176152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31029527104

31029527104 is an abundant number, since it is smaller than the sum of its proper divisors (31461305369).

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

31029527104 is an frugal number, since it uses more digits than its factorization.

31029527104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 31029527104 in words is "thirty-one billion, twenty-nine million, five hundred twenty-seven thousand, one hundred four".