106504272 has 240 divisors, whose sum is σ = 368309760. Its totient is φ = 28055808.

The previous prime is 106504271. The next prime is 106504273. The reversal of 106504272 is 272405601.

106504272 is a `hidden beast` number, since 1 + 0 + 650 + 4 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106504271) and next prime (106504273).

It is a super-2 number, since 2×106504272² = 22686319908499968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283143 + ... + 1283225.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2^106504272 is an apocalyptic number.

106504272 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 106504272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184154880).

106504272 is an abundant number, since it is smaller than the sum of its proper divisors (261805488).

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

106504272 is a wasteful number, since it uses less digits than its factorization.

106504272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106504272 is about 10320.0906972759. The cubic root of 106504272 is about 474.0116431472.

Adding to 106504272 its reverse (272405601), we get a palindrome (378909873).

The spelling of 106504272 in words is "one hundred six million, five hundred four thousand, two hundred seventy-two".