105424503132000 has 288 divisors, whose sum is σ = 373981267689120. Its totient is φ = 25950646425600.

The previous prime is 105424503131881. The next prime is 105424503132017. The reversal of 105424503132000 is 231305424501.

It is a super-2 number, since 2×105424503132000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23964235 + ... + 28020234.

It is an arithmetic number, because the mean of its divisors is an integer number (1298546068365).

Almost surely, 2^{105424503132000} is an apocalyptic number.

105424503132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105424503132000 is an abundant number, since it is smaller than the sum of its proper divisors (268556764557120).

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

105424503132000 is a wasteful number, since it uses less digits than its factorization.

105424503132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51984523 (or 51984492 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 105424503132000 its reverse (231305424501), we get a palindrome (105655808556501).

The spelling of 105424503132000 in words is "one hundred five trillion, four hundred twenty-four billion, five hundred three million, one hundred thirty-two thousand".