105253140104 has 64 divisors (see below), whose sum is σ = 233060060160. Its totient is φ = 43607992320.

The previous prime is 105253140019. The next prime is 105253140137. The reversal of 105253140104 is 401041352501.

It is a super-2 number, since 2×105253140104² (a number of 23 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, 1665044 + ... + 1727100.

It is an arithmetic number, because the mean of its divisors is an integer number (3641563440).

Almost surely, 2^105253140104 is an apocalyptic number.

105253140104 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 105253140104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116530030080).

105253140104 is an abundant number, since it is smaller than the sum of its proper divisors (127806920056).

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

105253140104 is a wasteful number, since it uses less digits than its factorization.

105253140104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63078 (or 63074 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 105253140104 its reverse (401041352501), we get a palindrome (506294492605).

The spelling of 105253140104 in words is "one hundred five billion, two hundred fifty-three million, one hundred forty thousand, one hundred four".