106005620 has 72 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 34757184.

The previous prime is 106005611. The next prime is 106005631. The reversal of 106005620 is 26500601.

It is a super-2 number, since 2×106005620² = 22474382943168800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 106005592 and 106005601.

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 23 ways as a sum of consecutive naturals, for example, 20189 + ... + 24891.

It is an arithmetic number, because the mean of its divisors is an integer number (3753792).

Almost surely, 2^106005620 is an apocalyptic number.

106005620 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 106005620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

106005620 is an abundant number, since it is smaller than the sum of its proper divisors (164267404).

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

106005620 is a wasteful number, since it uses less digits than its factorization.

106005620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106005620 is about 10295.9030686968. The cubic root of 106005620 is about 473.2707129132.

The spelling of 106005620 in words is "one hundred six million, five thousand, six hundred twenty".