105395472 has 240 divisors, whose sum is σ = 379975680. Its totient is φ = 27724032.

The previous prime is 105395449. The next prime is 105395497. The reversal of 105395472 is 274593501.

105395472 is a `hidden beast` number, since 1 + 0 + 539 + 54 + 72 = 666.

It is a super-2 number, since 2×105395472² = 22216411036205568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274993 + ... + 275375.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^105395472 is an apocalyptic number.

105395472 is a gapful number since it is divisible by the number (12) 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 105395472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

105395472 is an abundant number, since it is smaller than the sum of its proper divisors (274580208).

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

105395472 is a wasteful number, since it uses less digits than its factorization.

105395472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 105395472 is about 10266.2296876702. The cubic root of 105395472 is about 472.3609467360.

The spelling of 105395472 in words is "one hundred five million, three hundred ninety-five thousand, four hundred seventy-two".