105201332334 has 96 divisors (see below), whose sum is σ = 272493123840. Its totient is φ = 29997387504.

The previous prime is 105201332329. The next prime is 105201332371. The reversal of 105201332334 is 433233102501.

105201332334 is a `hidden beast` number, since 1 + 0 + 520 + 133 + 2 + 3 + 3 + 4 = 666.

It is a super-2 number, since 2×105201332334² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105201332298 and 105201332307.

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, 1291417 + ... + 1370459.

It is an arithmetic number, because the mean of its divisors is an integer number (2838470040).

Almost surely, 2^105201332334 is an apocalyptic number.

105201332334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105201332334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136246561920).

105201332334 is an abundant number, since it is smaller than the sum of its proper divisors (167291791506).

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

105201332334 is a wasteful number, since it uses less digits than its factorization.

105201332334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79571 (or 79558 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 105201332334 its reverse (433233102501), we get a palindrome (538434434835).

The spelling of 105201332334 in words is "one hundred five billion, two hundred one million, three hundred thirty-two thousand, three hundred thirty-four".