100412100 has 216 divisors, whose sum is σ = 335811840. Its totient is φ = 25056000.

The previous prime is 100412099. The next prime is 100412101. The reversal of 100412100 is 1214001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100412099) and next prime (100412101).

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

It is not an unprimeable number, because it can be changed into a prime (100412101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646070 + ... + 1646130.

Almost surely, 2^100412100 is an apocalyptic number.

100412100 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 100412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

100412100 is an abundant number, since it is smaller than the sum of its proper divisors (235399740).

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

100412100 is a wasteful number, since it uses less digits than its factorization.

100412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

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

The square root of 100412100 is about 10020.5838153273. The cubic root of 100412100 is about 464.7956090978.

Adding to 100412100 its reverse (1214001), we get a palindrome (101626101).

The spelling of 100412100 in words is "one hundred million, four hundred twelve thousand, one hundred".