100046016 has 168 divisors, whose sum is σ = 340238080. Its totient is φ = 28553472.

The previous prime is 100045997. The next prime is 100046017. The reversal of 100046016 is 610640001.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100046016.

It is not an unprimeable number, because it can be changed into a prime (100046017) 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, 108405 + ... + 109323.

Almost surely, 2^100046016 is an apocalyptic number.

100046016 is a gapful number since it is divisible by the number (16) 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 100046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170119040).

100046016 is an abundant number, since it is smaller than the sum of its proper divisors (240192064).

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

100046016 is an frugal number, since it uses more digits than its factorization.

100046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100046016 is about 10002.3005353768. The cubic root of 100046016 is about 464.2300682275.

Adding to 100046016 its reverse (610640001), we get a palindrome (710686017).

The spelling of 100046016 in words is "one hundred million, forty-six thousand, sixteen".