105434771772 has 24 divisors (see below), whose sum is σ = 268379419392. Its totient is φ = 31949930800.

The previous prime is 105434771713. The next prime is 105434771777. The reversal of 105434771772 is 277177434501.

It is a super-2 number, since 2×105434771772² (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 (105434771777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399374004 + ... + 399374267.

It is an arithmetic number, because the mean of its divisors is an integer number (11182475808).

Almost surely, 2^105434771772 is an apocalyptic number.

105434771772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105434771772 is an abundant number, since it is smaller than the sum of its proper divisors (162944647620).

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

105434771772 is a wasteful number, since it uses less digits than its factorization.

105434771772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798748289 (or 798748287 counting only the distinct ones).

The product of its (nonzero) digits is 1152480, while the sum is 48.

The spelling of 105434771772 in words is "one hundred five billion, four hundred thirty-four million, seven hundred seventy-one thousand, seven hundred seventy-two".