105153503402024 has 64 divisors (see below), whose sum is σ = 258750931161600. Its totient is φ = 38812639665600.

The previous prime is 105153503401997. The next prime is 105153503402063. The reversal of 105153503402024 is 420204305351501.

It is a super-2 number, since 2×105153503402024² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4492191962 + ... + 4492215369.

It is an arithmetic number, because the mean of its divisors is an integer number (4042983299400).

Almost surely, 2^{105153503402024} is an apocalyptic number.

105153503402024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105153503402024 is an abundant number, since it is smaller than the sum of its proper divisors (153597427759576).

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

105153503402024 is a wasteful number, since it uses less digits than its factorization.

105153503402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984407374 (or 8984407370 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 105153503402024 its reverse (420204305351501), we get a palindrome (525357808753525).

The spelling of 105153503402024 in words is "one hundred five trillion, one hundred fifty-three billion, five hundred three million, four hundred two thousand, twenty-four".