106638444 has 60 divisors (see below), whose sum is σ = 304127208. Its totient is φ = 32313600.

The previous prime is 106638421. The next prime is 106638449. The reversal of 106638444 is 444836601.

106638444 is a `hidden beast` number, since 10 + 6 + 638 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×106638444² = 22743515477482272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106638399 and 106638408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106638449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11397 + ... + 18524.

Almost surely, 2^106638444 is an apocalyptic number.

It is an amenable number.

106638444 is an abundant number, since it is smaller than the sum of its proper divisors (197488764).

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

106638444 is a wasteful number, since it uses less digits than its factorization.

106638444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29948 (or 29937 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 106638444 is about 10326.5891755216. The cubic root of 106638444 is about 474.2106098199.

The spelling of 106638444 in words is "one hundred six million, six hundred thirty-eight thousand, four hundred forty-four".