10412403100 has 288 divisors, whose sum is σ = 27251380800. Its totient is φ = 3409920000.

The previous prime is 10412403031. The next prime is 10412403103. The reversal of 10412403100 is 130421401.

It is a super-2 number, since 2×10412403100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412403103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69881826 + ... + 69881974.

It is an arithmetic number, because the mean of its divisors is an integer number (94622850).

Almost surely, 2^10412403100 is an apocalyptic number.

10412403100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625690400).

10412403100 is an abundant number, since it is smaller than the sum of its proper divisors (16838977700).

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

10412403100 is a wasteful number, since it uses less digits than its factorization.

10412403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10412403100 its reverse (130421401), we get a palindrome (10542824501).

The spelling of 10412403100 in words is "ten billion, four hundred twelve million, four hundred three thousand, one hundred".