106052620 has 48 divisors (see below), whose sum is σ = 229920768. Its totient is φ = 41065920.

The previous prime is 106052591. The next prime is 106052621. The reversal of 106052620 is 26250601.

It is a super-2 number, since 2×106052620² = 22494316417728800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106052591 and 106052600.

It is not an unprimeable number, because it can be changed into a prime (106052621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108735 + ... + 109705.

It is an arithmetic number, because the mean of its divisors is an integer number (4790016).

Almost surely, 2^106052620 is an apocalyptic number.

106052620 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 106052620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114960384).

106052620 is an abundant number, since it is smaller than the sum of its proper divisors (123868148).

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

106052620 is a wasteful number, since it uses less digits than its factorization.

106052620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 106052620 is about 10298.1852770282. The cubic root of 106052620 is about 473.3406476861.

It can be divided in two parts, 10605 and 2620, that added together give a square (13225 = 115²).

The spelling of 106052620 in words is "one hundred six million, fifty-two thousand, six hundred twenty".