106431900 has 144 divisors (see below), whose sum is σ = 334666080. Its totient is φ = 26009600.

The previous prime is 106431893. The next prime is 106431931. The reversal of 106431900 is 9134601.

It is a super-2 number, since 2×106431900² = 22655498675220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208846 + ... + 209354.

It is an arithmetic number, because the mean of its divisors is an integer number (2324070).

Almost surely, 2^106431900 is an apocalyptic number.

106431900 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 106431900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167333040).

106431900 is an abundant number, since it is smaller than the sum of its proper divisors (228234180).

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

106431900 is a wasteful number, since it uses less digits than its factorization.

106431900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 106431900 is about 10316.5837368772. The cubic root of 106431900 is about 473.9042516993.

The spelling of 106431900 in words is "one hundred six million, four hundred thirty-one thousand, nine hundred".