106005900 has 288 divisors, whose sum is σ = 412973568. Its totient is φ = 20275200.

The previous prime is 106005899. The next prime is 106005917. The reversal of 106005900 is 9500601.

It is a super-2 number, since 2×106005900² = 22474501669620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 95 ways as a sum of consecutive naturals, for example, 300124 + ... + 300476.

It is an arithmetic number, because the mean of its divisors is an integer number (1433936).

Almost surely, 2^106005900 is an apocalyptic number.

106005900 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 106005900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206486784).

106005900 is an abundant number, since it is smaller than the sum of its proper divisors (306967668).

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

106005900 is a wasteful number, since it uses less digits than its factorization.

106005900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 106005900 is about 10295.9166663294. The cubic root of 106005900 is about 473.2711296071.

The spelling of 106005900 in words is "one hundred six million, five thousand, nine hundred".