100412010 has 48 divisors (see below), whose sum is σ = 263536416. Its totient is φ = 26523744.

The previous prime is 100412003. The next prime is 100412021. The reversal of 100412010 is 10214001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100411983 and 100412001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4417 + ... + 14843.

It is an arithmetic number, because the mean of its divisors is an integer number (5490342).

Almost surely, 2^100412010 is an apocalyptic number.

100412010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100412010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131768208).

100412010 is an abundant number, since it is smaller than the sum of its proper divisors (163124406).

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

100412010 is a wasteful number, since it uses less digits than its factorization.

100412010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10544 counting only the distinct ones).

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

The square root of 100412010 is about 10020.5793245700. The cubic root of 100412010 is about 464.7954702314.

Adding to 100412010 its reverse (10214001), we get a palindrome (110626011).

The spelling of 100412010 in words is "one hundred million, four hundred twelve thousand, ten".