10412100 has 108 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2650560.

The previous prime is 10412081. The next prime is 10412107. The reversal of 10412100 is 121401.

It is a happy number.

It is a super-3 number, since 3×10412100³ (a number of 22 digits) contains 333 as substring.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10412107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20449 + ... + 20951.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^10412100 is an apocalyptic number.

10412100 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 10412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10412100 is an abundant number, since it is smaller than the sum of its proper divisors (23710716).

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

10412100 is a wasteful number, since it uses less digits than its factorization.

10412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 536 counting only the distinct ones).

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

The square root of 10412100 is about 3226.7785793264. The cubic root of 10412100 is about 218.3631967128.

Adding to 10412100 its reverse (121401), we get a palindrome (10533501).

The spelling of 10412100 in words is "ten million, four hundred twelve thousand, one hundred".