46016100 has 360 divisors, whose sum is σ = 176447040. Its totient is φ = 10264320.

The previous prime is 46016053. The next prime is 46016101. The reversal of 46016100 is 161064.

46016100 is a `hidden beast` number, since 4 + 601 + 61 + 0 + 0 = 666.

46016100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (46016101) 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 119 ways as a sum of consecutive naturals, for example, 2000689 + ... + 2000711.

Almost surely, 2^46016100 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 46016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88223520).

46016100 is an abundant number, since it is smaller than the sum of its proper divisors (130430940).

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

46016100 is a wasteful number, since it uses less digits than its factorization.

46016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

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

The square root of 46016100 is about 6783.5167870361. The cubic root of 46016100 is about 358.3465844508.

Adding to 46016100 its reverse (161064), we get a palindrome (46177164).

It can be divided in two parts, 4601 and 6100, that added together give a palindrome (10701).

The spelling of 46016100 in words is "forty-six million, sixteen thousand, one hundred".