100041012 has 18 divisors (see below), whose sum is σ = 252881538. Its totient is φ = 33346992.

The previous prime is 100040989. The next prime is 100041031. The reversal of 100041012 is 210140001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83832336 + 16208676 = 9156^2 + 4026^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100040985 and 100041003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1389423 + ... + 1389494.

Almost surely, 2^100041012 is an apocalyptic number.

100041012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100041012 is an abundant number, since it is smaller than the sum of its proper divisors (152840526).

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

100041012 is a wasteful number, since it uses less digits than its factorization.

100041012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778927 (or 2778922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100041012 is about 10002.0503897951. The cubic root of 100041012 is about 464.2223283025. Note that the first 3 decimals are identical.

Adding to 100041012 its reverse (210140001), we get a palindrome (310181013).

The spelling of 100041012 in words is "one hundred million, forty-one thousand, twelve".