106605552 has 80 divisors (see below), whose sum is σ = 292267008. Its totient is φ = 33411840.

The previous prime is 106605533. The next prime is 106605553. The reversal of 106605552 is 255506601.

It is a super-2 number, since 2×106605552² = 22729487434449408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106605553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66553 + ... + 68135.

Almost surely, 2^106605552 is an apocalyptic number.

106605552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146133504).

106605552 is an abundant number, since it is smaller than the sum of its proper divisors (185661456).

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

106605552 is a wasteful number, since it uses less digits than its factorization.

106605552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 106605552 is about 10324.9964648904. The cubic root of 106605552 is about 474.1618489830.

The spelling of 106605552 in words is "one hundred six million, six hundred five thousand, five hundred fifty-two".