97101400 has 192 divisors, whose sum is σ = 273196800. Its totient is φ = 31680000.

The previous prime is 97101391. The next prime is 97101401. The reversal of 97101400 is 410179.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961350 + ... + 961450.

It is an arithmetic number, because the mean of its divisors is an integer number (1422900).

Almost surely, 2^97101400 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 97101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

97101400 is an abundant number, since it is smaller than the sum of its proper divisors (176095400).

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

97101400 is a wasteful number, since it uses less digits than its factorization.

97101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 97101400 is about 9854.0042622276. The cubic root of 97101400 is about 459.6301374747.

Adding to 97101400 its reverse (410179), we get a palindrome (97511579).

The spelling of 97101400 in words is "ninety-seven million, one hundred one thousand, four hundred".