100120410 has 96 divisors (see below), whose sum is σ = 283989888. Its totient is φ = 24324480.

The previous prime is 100120379. The next prime is 100120411. The reversal of 100120410 is 14021001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100120392 and 100120401.

It is not an unprimeable number, because it can be changed into a prime (100120411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96595 + ... + 97625.

It is an arithmetic number, because the mean of its divisors is an integer number (2958228).

Almost surely, 2^100120410 is an apocalyptic number.

100120410 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 100120410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944).

100120410 is an abundant number, since it is smaller than the sum of its proper divisors (183869478).

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

100120410 is a wasteful number, since it uses less digits than its factorization.

100120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

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

The square root of 100120410 is about 10006.0186887693. The cubic root of 100120410 is about 464.3451065413.

Adding to 100120410 its reverse (14021001), we get a palindrome (114141411).

The spelling of 100120410 in words is "one hundred million, one hundred twenty thousand, four hundred ten".