100410516 has 72 divisors (see below), whose sum is σ = 277120480. Its totient is φ = 31702752.

The previous prime is 100410511. The next prime is 100410521. The reversal of 100410516 is 615014001.

It is an interprime number because it is at equal distance from previous prime (100410511) and next prime (100410521).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100410511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15750 + ... + 21186.

Almost surely, 2^100410516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100410516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138560240).

100410516 is an abundant number, since it is smaller than the sum of its proper divisors (176709964).

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

100410516 is a wasteful number, since it uses less digits than its factorization.

100410516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100410516 is about 10020.5047777046. The cubic root of 100410516 is about 464.7931650361.

Adding to 100410516 its reverse (615014001), we get a palindrome (715424517).

The spelling of 100410516 in words is "one hundred million, four hundred ten thousand, five hundred sixteen".