106553700 has 216 divisors, whose sum is σ = 373726080. Its totient is φ = 25171200.

The previous prime is 106553693. The next prime is 106553701. The reversal of 106553700 is 7355601.

106553700 is a `hidden beast` number, since 1 + 0 + 655 + 3 + 7 + 0 + 0 = 666.

It is a super-3 number, since 3×106553700³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106553701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 465186 + ... + 465414.

Almost surely, 2^106553700 is an apocalyptic number.

106553700 is a gapful number since it is divisible by the number (10) 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 106553700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186863040).

106553700 is an abundant number, since it is smaller than the sum of its proper divisors (267172380).

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

106553700 is a wasteful number, since it uses less digits than its factorization.

106553700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 106553700 is about 10322.4851658891. The cubic root of 106553700 is about 474.0849604690.

The spelling of 106553700 in words is "one hundred six million, five hundred fifty-three thousand, seven hundred".