97742106 has 96 divisors (see below), whose sum is σ = 272979840. Its totient is φ = 25375680.

The previous prime is 97742089. The next prime is 97742107. The reversal of 97742106 is 60124779.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97742107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44670 + ... + 46806.

It is an arithmetic number, because the mean of its divisors is an integer number (2843540).

Almost surely, 2^97742106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97742106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136489920).

97742106 is an abundant number, since it is smaller than the sum of its proper divisors (175237734).

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

97742106 is a wasteful number, since it uses less digits than its factorization.

97742106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 97742106 is about 9886.4607418429. The cubic root of 97742106 is about 460.6388508496.

The spelling of 97742106 in words is "ninety-seven million, seven hundred forty-two thousand, one hundred six".