65105040 has 320 divisors, whose sum is σ = 271982592. Its totient is φ = 12441600.

The previous prime is 65105023. The next prime is 65105057. The reversal of 65105040 is 4050156.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65105023) and next prime (65105057).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 65104998 and 65105016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240105 + ... + 240375.

Almost surely, 2^65105040 is an apocalyptic number.

65105040 is a gapful number since it is divisible by the number (60) 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 65105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135991296).

65105040 is an abundant number, since it is smaller than the sum of its proper divisors (206877552).

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

65105040 is a wasteful number, since it uses less digits than its factorization.

65105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 65105040 is about 8068.7694229046. The cubic root of 65105040 is about 402.2890423916.

Adding to 65105040 its reverse (4050156), we get a palindrome (69155196).

The spelling of 65105040 in words is "sixty-five million, one hundred five thousand, forty".