105307272 has 144 divisors (see below), whose sum is σ = 349455600. Its totient is φ = 28486080.

The previous prime is 105307261. The next prime is 105307327. The reversal of 105307272 is 272703501.

It is a super-2 number, since 2×105307272² = 22179243072163968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66247 + ... + 67817.

It is an arithmetic number, because the mean of its divisors is an integer number (2426775).

Almost surely, 2^105307272 is an apocalyptic number.

105307272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

105307272 is the 8379-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105307272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174727800).

105307272 is an abundant number, since it is smaller than the sum of its proper divisors (244148328).

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

105307272 is a wasteful number, since it uses less digits than its factorization.

105307272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 105307272 is about 10261.9331512147. The cubic root of 105307272 is about 472.2291451770.

The spelling of 105307272 in words is "one hundred five million, three hundred seven thousand, two hundred seventy-two".