97797105 has 64 divisors (see below), whose sum is σ = 204142080. Its totient is φ = 43483392.

The previous prime is 97797101. The next prime is 97797109. The reversal of 97797105 is 50179779.

97797105 is a nontrivial binomial coefficient, being equal to C(13986, 2).

It is an interprime number because it is at equal distance from previous prime (97797101) and next prime (97797109).

It is not a de Polignac number, because 97797105 - 2² = 97797101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (97797101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33567 + ... + 36363.

It is an arithmetic number, because the mean of its divisors is an integer number (3189720).

Almost surely, 2^97797105 is an apocalyptic number.

97797105 is the 13985-th triangular number and also the 6993-rd hexagonal number.

It is an amenable number.

97797105 is an abundant number, since it is smaller than the sum of its proper divisors (106344975).

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

97797105 is a wasteful number, since it uses less digits than its factorization.

97797105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 138915, while the sum is 45.

The square root of 97797105 is about 9889.2418819645. The cubic root of 97797105 is about 460.7252343840.

The spelling of 97797105 in words is "ninety-seven million, seven hundred ninety-seven thousand, one hundred five".