105620652 has 48 divisors (see below), whose sum is σ = 275462880. Its totient is φ = 34997184.

The previous prime is 105620621. The next prime is 105620657. The reversal of 105620652 is 256026501.

105620652 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 2 + 0 + 652 = 666.

It is a super-2 number, since 2×105620652² = 22311444257810208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105620657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15858 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (5738810).

Almost surely, 2^105620652 is an apocalyptic number.

105620652 is a gapful number since it is divisible by the number (12) 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 105620652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137731440).

105620652 is an abundant number, since it is smaller than the sum of its proper divisors (169842228).

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

105620652 is a wasteful number, since it uses less digits than its factorization.

105620652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105620652 is about 10277.1908613200. The cubic root of 105620652 is about 472.6971110082.

The spelling of 105620652 in words is "one hundred five million, six hundred twenty thousand, six hundred fifty-two".