106461472 has 24 divisors (see below), whose sum is σ = 225719676. Its totient is φ = 49135872.

The previous prime is 106461449. The next prime is 106461491. The reversal of 106461472 is 274164601.

It can be written as a sum of positive squares in 2 ways, for example, as 106419856 + 41616 = 10316^2 + 204^2 .

It is a super-2 number, since 2×106461472² = 22668090040813568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127543 + ... + 128374.

Almost surely, 2^106461472 is an apocalyptic number.

It is an amenable number.

106461472 is an abundant number, since it is smaller than the sum of its proper divisors (119258204).

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

106461472 is a wasteful number, since it uses less digits than its factorization.

106461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255940 (or 255932 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 106461472 is about 10318.0168637195. The cubic root of 106461472 is about 473.9481389135.

The spelling of 106461472 in words is "one hundred six million, four hundred sixty-one thousand, four hundred seventy-two".