1024414100 has 18 divisors (see below), whose sum is σ = 2222978814. Its totient is φ = 409765600.

The previous prime is 1024414099. The next prime is 1024414103. The reversal of 1024414100 is 14144201.

1024414100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8844676 + 1015569424 = 2974^2 + 31868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024414103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5121971 + ... + 5122170.

It is an arithmetic number, because the mean of its divisors is an integer number (123498823).

Almost surely, 2^1024414100 is an apocalyptic number.

1024414100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024414100 is an abundant number, since it is smaller than the sum of its proper divisors (1198564714).

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

1024414100 is a wasteful number, since it uses less digits than its factorization.

1024414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244155 (or 10244148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1024414100 is about 32006.4696584925. The cubic root of 1024414100 is about 1008.0726896539.

Adding to 1024414100 its reverse (14144201), we get a palindrome (1038558301).

The spelling of 1024414100 in words is "one billion, twenty-four million, four hundred fourteen thousand, one hundred".