105341755872 has 24 divisors (see below), whose sum is σ = 276522109416. Its totient is φ = 35113918592.

The previous prime is 105341755829. The next prime is 105341755873. The reversal of 105341755872 is 278557143501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105341755872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341755873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548654883 + ... + 548655074.

It is an arithmetic number, because the mean of its divisors is an integer number (11521754559).

Almost surely, 2^105341755872 is an apocalyptic number.

105341755872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105341755872 is an abundant number, since it is smaller than the sum of its proper divisors (171180353544).

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

105341755872 is a wasteful number, since it uses less digits than its factorization.

105341755872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097309970 (or 1097309962 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 105341755872 in words is "one hundred five billion, three hundred forty-one million, seven hundred fifty-five thousand, eight hundred seventy-two".