105345272736 has 384 divisors, whose sum is σ = 344725113600. Its totient is φ = 31021056000.

The previous prime is 105345272687. The next prime is 105345272749. The reversal of 105345272736 is 637272543501.

105345272736 is a `hidden beast` number, since 1 + 0 + 5 + 345 + 272 + 7 + 36 = 666.

It is a super-2 number, since 2×105345272736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345272691 and 105345272700.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159372246 + ... + 159372906.

It is an arithmetic number, because the mean of its divisors is an integer number (897721650).

Almost surely, 2^105345272736 is an apocalyptic number.

105345272736 is a gapful number since it is divisible by the number (16) 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 105345272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172362556800).

105345272736 is an abundant number, since it is smaller than the sum of its proper divisors (239379840864).

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

105345272736 is a wasteful number, since it uses less digits than its factorization.

105345272736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 105345272736 in words is "one hundred five billion, three hundred forty-five million, two hundred seventy-two thousand, seven hundred thirty-six".