105861272 has 64 divisors (see below), whose sum is σ = 227957760. Its totient is φ = 45619200.

The previous prime is 105861269. The next prime is 105861277. The reversal of 105861272 is 272168501.

It is a super-2 number, since 2×105861272² = 22413217818915968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105861277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390497 + ... + 390767.

It is an arithmetic number, because the mean of its divisors is an integer number (3561840).

Almost surely, 2^105861272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105861272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113978880).

105861272 is an abundant number, since it is smaller than the sum of its proper divisors (122096488).

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

105861272 is a wasteful number, since it uses less digits than its factorization.

105861272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105861272 is about 10288.8907079432. The cubic root of 105861272 is about 473.0557975377.

The spelling of 105861272 in words is "one hundred five million, eight hundred sixty-one thousand, two hundred seventy-two".