106495272 has 48 divisors (see below), whose sum is σ = 310613940. Its totient is φ = 32767488.

The previous prime is 106495253. The next prime is 106495273. The reversal of 106495272 is 272594601.

106495272 is a `hidden beast` number, since 1 + 0 + 649 + 5 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74753316 + 31741956 = 8646^2 + 5634^2 .

It is a super-2 number, since 2×106495272² = 22682485916707968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106495273) 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, 55953 + ... + 57824.

Almost surely, 2^106495272 is an apocalyptic number.

106495272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106495272 is an abundant number, since it is smaller than the sum of its proper divisors (204118668).

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

106495272 is a wasteful number, since it uses less digits than its factorization.

106495272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113802 (or 113795 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106495272 is about 10319.6546453842. The cubic root of 106495272 is about 473.9982908660.

It can be divided in two parts, 1064952 and 72, that added together give a square (1065024 = 1032²).

The spelling of 106495272 in words is "one hundred six million, four hundred ninety-five thousand, two hundred seventy-two".