97989100 has 72 divisors (see below), whose sum is σ = 233578800. Its totient is φ = 35385600.

The previous prime is 97989097. The next prime is 97989121. The reversal of 97989100 is 198979.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251706 + ... + 252094.

It is an arithmetic number, because the mean of its divisors is an integer number (3244150).

Almost surely, 2^97989100 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 97989100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116789400).

97989100 is an abundant number, since it is smaller than the sum of its proper divisors (135589700).

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

97989100 is a wasteful number, since it uses less digits than its factorization.

97989100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

The square root of 97989100 is about 9898.9443881658. The cubic root of 97989100 is about 461.0265354579.

It can be divided in two parts, 97989 and 100, that added together give a palindrome (98089).

The spelling of 97989100 in words is "ninety-seven million, nine hundred eighty-nine thousand, one hundred".