106555800 has 192 divisors, whose sum is σ = 374976000. Its totient is φ = 24814080.

The previous prime is 106555769. The next prime is 106555807. The reversal of 106555800 is 8555601.

It is a happy number.

It is a super-3 number, since 3×106555800³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147841 + ... + 148559.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^106555800 is an apocalyptic number.

106555800 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 106555800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

106555800 is an abundant number, since it is smaller than the sum of its proper divisors (268420200).

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

106555800 is a wasteful number, since it uses less digits than its factorization.

106555800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 106555800 is about 10322.5868850788. The cubic root of 106555800 is about 474.0880749295.

It can be divided in two parts, 1065 and 55800, that added together give a palindrome (56865).

The spelling of 106555800 in words is "one hundred six million, five hundred fifty-five thousand, eight hundred".