152310105420 has 192 divisors, whose sum is σ = 479634365952. Its totient is φ = 35792640000.

The previous prime is 152310105373. The next prime is 152310105421. The reversal of 152310105420 is 24501013251.

It is a happy number.

152310105420 is digitally balanced in base 2, 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 (152310105421) 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 63 ways as a sum of consecutive naturals, for example, 4230495 + ... + 4266345.

It is an arithmetic number, because the mean of its divisors is an integer number (2498095656).

Almost surely, 2^152310105420 is an apocalyptic number.

152310105420 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 152310105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239817182976).

152310105420 is an abundant number, since it is smaller than the sum of its proper divisors (327324260532).

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

152310105420 is a wasteful number, since it uses less digits than its factorization.

152310105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36072 (or 36070 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 152310105420 its reverse (24501013251), we get a palindrome (176811118671).

The spelling of 152310105420 in words is "one hundred fifty-two billion, three hundred ten million, one hundred five thousand, four hundred twenty".