401030100 has 54 divisors (see below), whose sum is σ = 1257009390. Its totient is φ = 106941120.

The previous prime is 401030057. The next prime is 401030111. The reversal of 401030100 is 1030104.

It can be written as a sum of positive squares in 3 ways, for example, as 111894084 + 289136016 = 10578^2 + 17004^2 .

It is a super-2 number, since 2×401030100² = 321650282212020000, which contains 22 as substring.

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

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 17 ways as a sum of consecutive naturals, for example, 221895 + ... + 223694.

Almost surely, 2^401030100 is an apocalyptic number.

It is an amenable number.

401030100 is an abundant number, since it is smaller than the sum of its proper divisors (855979290).

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

401030100 is a wasteful number, since it uses less digits than its factorization.

401030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445609 (or 445599 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 401030100 is about 20025.7359415328. The cubic root of 401030100 is about 737.4382443741.

Adding to 401030100 its reverse (1030104), we get a palindrome (402060204).

The spelling of 401030100 in words is "four hundred one million, thirty thousand, one hundred".