106348200 has 96 divisors (see below), whose sum is σ = 376791360. Its totient is φ = 24307200.

The previous prime is 106348199. The next prime is 106348201. The reversal of 106348200 is 2843601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106348199) and next prime (106348201).

It is a super-2 number, since 2×106348200² = 22619879286480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (106348201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8461 + ... + 16860.

It is an arithmetic number, because the mean of its divisors is an integer number (3924910).

Almost surely, 2^106348200 is an apocalyptic number.

106348200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106348200 is an abundant number, since it is smaller than the sum of its proper divisors (270443160).

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

106348200 is a wasteful number, since it uses less digits than its factorization.

106348200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25347 (or 25338 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 106348200 is about 10312.5263636027. The cubic root of 106348200 is about 473.7799901186.

The spelling of 106348200 in words is "one hundred six million, three hundred forty-eight thousand, two hundred".