105533522314000 has 80 divisors (see below), whose sum is σ = 278378244009216. Its totient is φ = 38375826288000.

The previous prime is 105533522313949. The next prime is 105533522314037. The reversal of 105533522314000 is 413225335501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105533522314000² (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, 2398467144 + ... + 2398511143.

Almost surely, 2^{105533522314000} is an apocalyptic number.

105533522314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105533522314000 is an abundant number, since it is smaller than the sum of its proper divisors (172844721695216).

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

105533522314000 is a wasteful number, since it uses less digits than its factorization.

105533522314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796978321 (or 4796978305 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 105533522314000 its reverse (413225335501), we get a palindrome (105946747649501).

The spelling of 105533522314000 in words is "one hundred five trillion, five hundred thirty-three billion, five hundred twenty-two million, three hundred fourteen thousand".