105115022140352 has 56 divisors (see below), whose sum is σ = 238389256077024. Its totient is φ = 45048652250112.

The previous prime is 105115022140339. The next prime is 105115022140361. The reversal of 105115022140352 is 253041220511501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105115022140352² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30436898 + ... + 33714014.

Almost surely, 2^{105115022140352} is an apocalyptic number.

It is an amenable number.

105115022140352 is an abundant number, since it is smaller than the sum of its proper divisors (133274233936672).

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

105115022140352 is an equidigital number, since it uses as much as digits as its factorization.

105115022140352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348733 (or 3348723 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

Adding to 105115022140352 its reverse (253041220511501), we get a palindrome (358156242651853).

The spelling of 105115022140352 in words is "one hundred five trillion, one hundred fifteen billion, twenty-two million, one hundred forty thousand, three hundred fifty-two".