106655504 has 40 divisors (see below), whose sum is σ = 217854360. Its totient is φ = 50505728.

The previous prime is 106655503. The next prime is 106655509. The reversal of 106655504 is 405556601.

It can be written as a sum of positive squares in 4 ways, for example, as 3429904 + 103225600 = 1852^2 + 10160^2 .

It is a super-2 number, since 2×106655504² = 22750793066988032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106655503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22424 + ... + 26760.

It is an arithmetic number, because the mean of its divisors is an integer number (5446359).

Almost surely, 2^106655504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106655504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927180).

106655504 is an abundant number, since it is smaller than the sum of its proper divisors (111198856).

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

106655504 is a wasteful number, since it uses less digits than its factorization.

106655504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106655504 is about 10327.4151654710. The cubic root of 106655504 is about 474.2358965156.

The spelling of 106655504 in words is "one hundred six million, six hundred fifty-five thousand, five hundred four".