100065240 has 128 divisors (see below), whose sum is σ = 363916800. Its totient is φ = 24255360.

The previous prime is 100065233. The next prime is 100065253. The reversal of 100065240 is 42560001.

It is a happy number.

100065240 is a `hidden beast` number, since 10 + 0 + 0 + 652 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7669 + ... + 16091.

It is an arithmetic number, because the mean of its divisors is an integer number (2843100).

Almost surely, 2^100065240 is an apocalyptic number.

100065240 is a gapful number since it is divisible by the number (10) 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 100065240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181958400).

100065240 is an abundant number, since it is smaller than the sum of its proper divisors (263851560).

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

100065240 is a wasteful number, since it uses less digits than its factorization.

100065240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 100065240 is about 10003.2614681413. The cubic root of 100065240 is about 464.2598005035.

The spelling of 100065240 in words is "one hundred million, sixty-five thousand, two hundred forty".