106472 has 8 divisors (see below), whose sum is σ = 199650. Its totient is φ = 53232.

The previous prime is 106453. The next prime is 106487. The reversal of 106472 is 274601.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 196 = 326^2 + 14^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×106472² = 22672573568, which contains 22 as substring.

It is an unprimeable number.

106472 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 6647 + ... + 6662.

2¹⁰⁶⁴⁷² is an apocalyptic number.

It is an amenable number.

106472 is a deficient number, since it is larger than the sum of its proper divisors (93178).

106472 is a wasteful number, since it uses less digits than its factorization.

106472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13315 (or 13311 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 106472 is about 326.3004750226. The cubic root of 106472 is about 47.3963761346.

The spelling of 106472 in words is "one hundred six thousand, four hundred seventy-two".