31980168900 has 135 divisors (see below), whose sum is σ = 103719272349. Its totient is φ = 8523753120.

The previous prime is 31980168841. The next prime is 31980168907. The reversal of 31980168900 is 986108913.

The square root of 31980168900 is 178830.

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., 11512860804 + 20467308096 = 107298^2 + 143064^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31980168907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16093707 + ... + 16095693.

Almost surely, 2^31980168900 is an apocalyptic number.

31980168900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31980168900 is the 178830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980168900

31980168900 is an abundant number, since it is smaller than the sum of its proper divisors (71739103449).

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

31980168900 is an equidigital number, since it uses as much as digits as its factorization.

31980168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 31980168900 in words is "thirty-one billion, nine hundred eighty million, one hundred sixty-eight thousand, nine hundred".