100001640 has 32 divisors (see below), whose sum is σ = 300005280. Its totient is φ = 26667072.

The previous prime is 100001623. The next prime is 100001651. The reversal of 100001640 is 46100001.

It is a Harshad number since it is a multiple of its sum of digits (12).

100001640 is a modest number, since divided by 1640 gives 1000 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416554 + ... + 416793.

It is an arithmetic number, because the mean of its divisors is an integer number (9375165).

Almost surely, 2^100001640 is an apocalyptic number.

100001640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001640 is an abundant number, since it is smaller than the sum of its proper divisors (200003640).

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

100001640 is a wasteful number, since it uses less digits than its factorization.

100001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833361 (or 833357 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100001640 is about 10000.0819996638. The cubic root of 100001640 is about 464.1614207493.

Adding to 100001640 its reverse (46100001), we get a palindrome (146101641).

The spelling of 100001640 in words is "one hundred million, one thousand, six hundred forty".