106472672 has 24 divisors (see below), whose sum is σ = 214081056. Its totient is φ = 52102912.

The previous prime is 106472671. The next prime is 106472783. The reversal of 106472672 is 276274601.

It is a super-2 number, since 2×106472672² = 22672859765639168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106472671) by changing a digit.

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, 33893 + ... + 36900.

It is an arithmetic number, because the mean of its divisors is an integer number (8920044).

Almost surely, 2^106472672 is an apocalyptic number.

It is an amenable number.

106472672 is an abundant number, since it is smaller than the sum of its proper divisors (107608384).

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

106472672 is an equidigital number, since it uses as much as digits as its factorization.

106472672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70850 (or 70842 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 106472672 is about 10318.5595894001. The cubic root of 106472672 is about 473.9647584877.

The spelling of 106472672 in words is "one hundred six million, four hundred seventy-two thousand, six hundred seventy-two".