106343100 has 108 divisors (see below), whose sum is σ = 335744136. Its totient is φ = 28152960.

The previous prime is 106343077. The next prime is 106343101. The reversal of 106343100 is 1343601.

106343100 is a `hidden beast` number, since 1 + 0 + 634 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×106343100² = 22617709835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106343101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155359 + ... + 156041.

It is an arithmetic number, because the mean of its divisors is an integer number (3108742).

Almost surely, 2^106343100 is an apocalyptic number.

106343100 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 106343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167872068).

106343100 is an abundant number, since it is smaller than the sum of its proper divisors (229401036).

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

106343100 is a wasteful number, since it uses less digits than its factorization.

106343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106343100 is about 10312.2790885429. The cubic root of 106343100 is about 473.7724165174.

Adding to 106343100 its reverse (1343601), we get a palindrome (107686701).

It can be divided in two parts, 106 and 343100, that added together give a triangular number (343206 = T₈₂₈).

The spelling of 106343100 in words is "one hundred six million, three hundred forty-three thousand, one hundred".