106980018084 has 99 divisors (see below), whose sum is σ = 281238849633. Its totient is φ = 35607019392.

The previous prime is 106980018077. The next prime is 106980018113. The reversal of 106980018084 is 480810089601.

The square root of 106980018084 is 327078.

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., 35010152100 + 71969865984 = 187110^2 + 268272^2 .

It is a super-2 number, since 2×106980018084² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 158959572 + ... + 158960244.

Almost surely, 2^106980018084 is an apocalyptic number.

106980018084 is the 327078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106980018084

106980018084 is an abundant number, since it is smaller than the sum of its proper divisors (174258831549).

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

106980018084 is an frugal number, since it uses more digits than its factorization.

106980018084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 106980018084 in words is "one hundred six billion, nine hundred eighty million, eighteen thousand, eighty-four".