46101460100 has 72 divisors (see below), whose sum is σ = 101126084808. Its totient is φ = 18240768000.

The previous prime is 46101460079. The next prime is 46101460147. The reversal of 46101460100 is 106410164.

It can be written as a sum of positive squares in 12 ways, for example, as 3560747584 + 42540712516 = 59672^2 + 206254^2 .

It is a super-3 number, since 3×46101460100³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18916082 + ... + 18918518.

Almost surely, 2^46101460100 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 46101460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50563042404).

46101460100 is an abundant number, since it is smaller than the sum of its proper divisors (55024624708).

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

46101460100 is a wasteful number, since it uses less digits than its factorization.

46101460100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 46101460100 its reverse (106410164), we get a palindrome (46207870264).

The spelling of 46101460100 in words is "forty-six billion, one hundred one million, four hundred sixty thousand, one hundred".