105346120352 has 48 divisors (see below), whose sum is σ = 231068702592. Its totient is φ = 46865771520.

The previous prime is 105346120351. The next prime is 105346120393. The reversal of 105346120352 is 253021643501.

It is a happy number.

It is a super-2 number, since 2×105346120352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105346120351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3167273 + ... + 3200360.

It is an arithmetic number, because the mean of its divisors is an integer number (4813931304).

Almost surely, 2^105346120352 is an apocalyptic number.

It is an amenable number.

105346120352 is an abundant number, since it is smaller than the sum of its proper divisors (125722582240).

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

105346120352 is a wasteful number, since it uses less digits than its factorization.

105346120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6367701 (or 6367693 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

Adding to 105346120352 its reverse (253021643501), we get a palindrome (358367763853).

The spelling of 105346120352 in words is "one hundred five billion, three hundred forty-six million, one hundred twenty thousand, three hundred fifty-two".