977942988100 has 81 divisors (see below), whose sum is σ = 2298236677527. Its totient is φ = 361039174080.

The previous prime is 977942988059. The next prime is 977942988149. The reversal of 977942988100 is 1889249779.

It is a happy number.

The square root of 977942988100 is 988910.

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

977942988100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 252066251844 + 725876736256 = 502062^2 + 851984^2 .

It is a super-3 number, since 3×977942988100³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128554497 + ... + 128562103.

Almost surely, 2^977942988100 is an apocalyptic number.

977942988100 is the 988910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977942988100

977942988100 is an abundant number, since it is smaller than the sum of its proper divisors (1320293689427).

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

977942988100 is an equidigital number, since it uses as much as digits as its factorization.

977942988100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15254 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 64.

Multiplying 977942988100 by its sum of digits (64), we get a square (62588351238400 = 7911280²).

The spelling of 977942988100 in words is "nine hundred seventy-seven billion, nine hundred forty-two million, nine hundred eighty-eight thousand, one hundred".