105342601364 has 96 divisors (see below), whose sum is σ = 249038340096. Its totient is φ = 37652791680.

The previous prime is 105342601313. The next prime is 105342601367. The reversal of 105342601364 is 463106243501.

It is a super-2 number, since 2×105342601364² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342601367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571949 + ... + 733355.

It is an arithmetic number, because the mean of its divisors is an integer number (2594149376).

Almost surely, 2^105342601364 is an apocalyptic number.

105342601364 is a gapful number since it is divisible by the number (14) 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 105342601364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124519170048).

105342601364 is an abundant number, since it is smaller than the sum of its proper divisors (143695738732).

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

105342601364 is a wasteful number, since it uses less digits than its factorization.

105342601364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161605 (or 161603 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 105342601364 its reverse (463106243501), we get a palindrome (568448844865).

The spelling of 105342601364 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, three hundred sixty-four".