106391800 has 48 divisors (see below), whose sum is σ = 248812200. Its totient is φ = 42307200.

The previous prime is 106391759. The next prime is 106391801. The reversal of 106391800 is 8193601.

It is a happy number.

It is a super-2 number, since 2×106391800² = 22638430214480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106391801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34731 + ... + 37669.

Almost surely, 2^106391800 is an apocalyptic number.

106391800 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 106391800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124406100).

106391800 is an abundant number, since it is smaller than the sum of its proper divisors (142420400).

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

106391800 is a wasteful number, since it uses less digits than its factorization.

106391800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 106391800 is about 10314.6400809723. The cubic root of 106391800 is about 473.8447271030.

The spelling of 106391800 in words is "one hundred six million, three hundred ninety-one thousand, eight hundred".