100041000 has 64 divisors (see below), whose sum is σ = 312137280. Its totient is φ = 26676800.

The previous prime is 100040989. The next prime is 100041031. The reversal of 100041000 is 140001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

100041000 is a modest number, since divided by 41000 gives 1000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 100041000.

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, 13674 + ... + 19673.

It is an arithmetic number, because the mean of its divisors is an integer number (4877145).

Almost surely, 2^100041000 is an apocalyptic number.

100041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100041000 is an abundant number, since it is smaller than the sum of its proper divisors (212096280).

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

100041000 is a wasteful number, since it uses less digits than its factorization.

100041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33371 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100041000 is about 10002.0497899181. The cubic root of 100041000 is about 464.2223097412. Note that the first 3 decimals are identical.

Adding to 100041000 its reverse (140001), we get a palindrome (100181001).

Subtracting from 100041000 its reverse (140001), we obtain a palindrome (99900999).

The spelling of 100041000 in words is "one hundred million, forty-one thousand".