106486272 has 80 divisors (see below), whose sum is σ = 315247680. Its totient is φ = 35490816.

The previous prime is 106486267. The next prime is 106486273. The reversal of 106486272 is 272684601.

106486272 is a `hidden beast` number, since 1 + 0 + 648 + 6 + 2 + 7 + 2 = 666.

It is a super-2 number, since 2×106486272² = 22678652248915968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106486273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9973 + ... + 17675.

It is an arithmetic number, because the mean of its divisors is an integer number (3940596).

Almost surely, 2^106486272 is an apocalyptic number.

106486272 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 106486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157623840).

106486272 is an abundant number, since it is smaller than the sum of its proper divisors (208761408).

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

106486272 is an frugal number, since it uses more digits than its factorization.

106486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7708 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106486272 is about 10319.2185750666. The cubic root of 106486272 is about 473.9849378325.

The spelling of 106486272 in words is "one hundred six million, four hundred eighty-six thousand, two hundred seventy-two".