105774144096 has 24 divisors (see below), whose sum is σ = 277657128504. Its totient is φ = 35258048000.

The previous prime is 105774144089. The next prime is 105774144097. The reversal of 105774144096 is 690441477501.

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

It is a super-2 number, since 2×105774144096² (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 (105774144097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550906905 + ... + 550907096.

It is an arithmetic number, because the mean of its divisors is an integer number (11569047021).

Almost surely, 2^105774144096 is an apocalyptic number.

105774144096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105774144096 is an abundant number, since it is smaller than the sum of its proper divisors (171882984408).

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

105774144096 is a wasteful number, since it uses less digits than its factorization.

105774144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101814014 (or 1101814006 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 105774144096 in words is "one hundred five billion, seven hundred seventy-four million, one hundred forty-four thousand, ninety-six".