105147072 has 84 divisors (see below), whose sum is σ = 312593736. Its totient is φ = 35043840.

The previous prime is 105147067. The next prime is 105147073. The reversal of 105147072 is 270741501.

105147072 is a `hidden beast` number, since 10 + 514 + 70 + 72 = 666.

It is a super-2 number, since 2×105147072² = 22111813500346368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105147073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12172 + ... + 18932.

It is an arithmetic number, because the mean of its divisors is an integer number (3721354).

Almost surely, 2^105147072 is an apocalyptic number.

105147072 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 105147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156296868).

105147072 is an abundant number, since it is smaller than the sum of its proper divisors (207446664).

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

105147072 is an frugal number, since it uses more digits than its factorization.

105147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 105147072 is about 10254.1246335316. The cubic root of 105147072 is about 471.9895621555.

Adding to 105147072 its reverse (270741501), we get a palindrome (375888573).

The spelling of 105147072 in words is "one hundred five million, one hundred forty-seven thousand, seventy-two".