97105536 has 192 divisors, whose sum is σ = 311875200. Its totient is φ = 28753920.

The previous prime is 97105511. The next prime is 97105537. The reversal of 97105536 is 63550179.

It is a happy number.

97105536 is a `hidden beast` number, since 97 + 10 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 97105536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97105537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001040 + ... + 1001136.

It is an arithmetic number, because the mean of its divisors is an integer number (1624350).

Almost surely, 2^97105536 is an apocalyptic number.

97105536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

97105536 is an abundant number, since it is smaller than the sum of its proper divisors (214769664).

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

97105536 is a wasteful number, since it uses less digits than its factorization.

97105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 97105536 is about 9854.2141239167. The cubic root of 97105536 is about 459.6366633101.

The spelling of 97105536 in words is "ninety-seven million, one hundred five thousand, five hundred thirty-six".