105006620 has 72 divisors (see below), whose sum is σ = 240235632. Its totient is φ = 38415360.

The previous prime is 105006619. The next prime is 105006653. The reversal of 105006620 is 26600501.

It is a super-2 number, since 2×105006620² = 22052780487648800, 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 = 105006592 and 105006601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265099 + ... + 1265181.

It is an arithmetic number, because the mean of its divisors is an integer number (3336606).

Almost surely, 2^105006620 is an apocalyptic number.

105006620 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 105006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120117816).

105006620 is an abundant number, since it is smaller than the sum of its proper divisors (135229012).

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

105006620 is a wasteful number, since it uses less digits than its factorization.

105006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 168 counting only the distinct ones).

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

The square root of 105006620 is about 10247.2737837924. The cubic root of 105006620 is about 471.7793124691.

The spelling of 105006620 in words is "one hundred five million, six thousand, six hundred twenty".