106709472 has 72 divisors (see below), whose sum is σ = 319442760. Its totient is φ = 33696000.

The previous prime is 106709467. The next prime is 106709501. The reversal of 106709472 is 274907601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106709472² = 22773822829037568, 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 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 11 ways as a sum of consecutive naturals, for example, 4279 + ... + 15222.

It is an arithmetic number, because the mean of its divisors is an integer number (4436705).

Almost surely, 2^106709472 is an apocalyptic number.

106709472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106709472 is an abundant number, since it is smaller than the sum of its proper divisors (212733288).

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

106709472 is a wasteful number, since it uses less digits than its factorization.

106709472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536 (or 19525 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106709472 is about 10330.0276863133. The cubic root of 106709472 is about 474.3158712827.

The spelling of 106709472 in words is "one hundred six million, seven hundred nine thousand, four hundred seventy-two".