9976185420100 has 27 divisors (see below), whose sum is σ = 21648390901501. Its totient is φ = 3990461534000.

The previous prime is 9976185420067. The next prime is 9976185420101. The reversal of 9976185420100 is 10245816799.

The square root of 9976185420100 is 3158510.

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., 3591426751236 + 6384758668864 = 1895106^2 + 2526808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9976185420101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31427175 + ... + 31743025.

Almost surely, 2^{9976185420100} is an apocalyptic number.

9976185420100 is the 3158510-th square number.

It is an amenable number.

9976185420100 is an abundant number, since it is smaller than the sum of its proper divisors (11672205481401).

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

9976185420100 is an frugal number, since it uses more digits than its factorization.

9976185420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631716 (or 315858 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 9976185420100 in words is "nine trillion, nine hundred seventy-six billion, one hundred eighty-five million, four hundred twenty thousand, one hundred".