105501424152100 has 72 divisors (see below), whose sum is σ = 231006442641408. Its totient is φ = 41819443545600.

The previous prime is 105501424152077. The next prime is 105501424152121. The reversal of 105501424152100 is 1251424105501.

It is a super-2 number, since 2×105501424152100² (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 23 ways as a sum of consecutive naturals, for example, 60969037 + ... + 62675563.

It is an arithmetic number, because the mean of its divisors is an integer number (3208422814464).

Almost surely, 2^{105501424152100} is an apocalyptic number.

105501424152100 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 105501424152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115503221320704).

105501424152100 is an abundant number, since it is smaller than the sum of its proper divisors (125505018489308).

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

105501424152100 is a wasteful number, since it uses less digits than its factorization.

105501424152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712125 (or 1712118 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

Adding to 105501424152100 its reverse (1251424105501), we get a palindrome (106752848257601).

The spelling of 105501424152100 in words is "one hundred five trillion, five hundred one billion, four hundred twenty-four million, one hundred fifty-two thousand, one hundred".