97652100 has 288 divisors, whose sum is σ = 359699200. Its totient is φ = 20321280.

The previous prime is 97652083. The next prime is 97652117. The reversal of 97652100 is 125679.

It is an interprime number because it is at equal distance from previous prime (97652083) and next prime (97652117).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1337664 + ... + 1337736.

Almost surely, 2^97652100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179849600).

97652100 is an abundant number, since it is smaller than the sum of its proper divisors (262047100).

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

97652100 is a wasteful number, since it uses less digits than its factorization.

97652100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 97652100 is about 9881.9077105587. The cubic root of 97652100 is about 460.4974140459.

Adding to 97652100 its reverse (125679), we get a palindrome (97777779).

The spelling of 97652100 in words is "ninety-seven million, six hundred fifty-two thousand, one hundred".