101052404460 has 144 divisors (see below), whose sum is σ = 350526076992. Its totient is φ = 23083776000.

The previous prime is 101052404447. The next prime is 101052404461. The reversal of 101052404460 is 64404250101.

101052404460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101052404461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2145160 + ... + 2191760.

It is an arithmetic number, because the mean of its divisors is an integer number (2434208868).

Almost surely, 2^101052404460 is an apocalyptic number.

101052404460 is a gapful number since it is divisible by the number (10) 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 101052404460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175263038496).

101052404460 is an abundant number, since it is smaller than the sum of its proper divisors (249473672532).

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

101052404460 is a wasteful number, since it uses less digits than its factorization.

101052404460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48344 (or 48339 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101052404460 its reverse (64404250101), we get a palindrome (165456654561).

The spelling of 101052404460 in words is "one hundred one billion, fifty-two million, four hundred four thousand, four hundred sixty".