97761302100 has 216 divisors, whose sum is σ = 382039589568. Its totient is φ = 20314022400.

The previous prime is 97761302077. The next prime is 97761302101. The reversal of 97761302100 is 120316779.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97761302101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 636049 + ... + 774648.

Almost surely, 2^97761302100 is an apocalyptic number.

97761302100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97761302100 is an abundant number, since it is smaller than the sum of its proper divisors (284278287468).

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

97761302100 is a wasteful number, since it uses less digits than its factorization.

97761302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410735 (or 1410725 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 97761302100 its reverse (120316779), we get a palindrome (97881618879).

The spelling of 97761302100 in words is "ninety-seven billion, seven hundred sixty-one million, three hundred two thousand, one hundred".