97105440 has 96 divisors (see below), whose sum is σ = 309064896. Its totient is φ = 25625600.

The previous prime is 97105391. The next prime is 97105469. The reversal of 97105440 is 4450179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97105398 and 97105407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47479 + ... + 49481.

It is an arithmetic number, because the mean of its divisors is an integer number (3219426).

Almost surely, 2^97105440 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 97105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154532448).

97105440 is an abundant number, since it is smaller than the sum of its proper divisors (211959456).

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

97105440 is a wasteful number, since it uses less digits than its factorization.

97105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 97105440 is about 9854.2092529030. The cubic root of 97105440 is about 459.6365118422.

The spelling of 97105440 in words is "ninety-seven million, one hundred five thousand, four hundred forty".