46870100 has 36 divisors (see below), whose sum is σ = 102951744. Its totient is φ = 18518880.

The previous prime is 46870091. The next prime is 46870121. The reversal of 46870100 is 107864.

46870100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46870100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5477 + ... + 11123.

Almost surely, 2^46870100 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 46870100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51475872).

46870100 is an abundant number, since it is smaller than the sum of its proper divisors (56081644).

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

46870100 is a wasteful number, since it uses less digits than its factorization.

46870100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5744 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 46870100 is about 6846.1741140582. The cubic root of 46870100 is about 360.5498285428.

Adding to 46870100 its reverse (107864), we get a palindrome (46977964).

The spelling of 46870100 in words is "forty-six million, eight hundred seventy thousand, one hundred".