6973920100 has 81 divisors (see below), whose sum is σ = 17618935467. Its totient is φ = 2389054080.

The previous prime is 6973920089. The next prime is 6973920131. The reversal of 6973920100 is 10293796.

The square root of 6973920100 is 83510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 114105124 + 6859814976 = 10682^2 + 82824^2 .

It is a super-2 number, since 2×6973920100² = 97271123122368020000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6973920100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5845104 + ... + 5846296.

Almost surely, 2^6973920100 is an apocalyptic number.

6973920100 is the 83510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6973920100

6973920100 is an abundant number, since it is smaller than the sum of its proper divisors (10645015367).

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

6973920100 is a wasteful number, since it uses less digits than its factorization.

6973920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The cubic root of 6973920100 is about 1910.5525570710.

The spelling of 6973920100 in words is "six billion, nine hundred seventy-three million, nine hundred twenty thousand, one hundred".