105011620 has 24 divisors (see below), whose sum is σ = 252028224. Its totient is φ = 36003936.

The previous prime is 105011611. The next prime is 105011659. The reversal of 105011620 is 26110501.

It is a happy number.

It is a super-2 number, since 2×105011620² = 22054880670048800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011594 and 105011603.

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 7 ways as a sum of consecutive naturals, for example, 374902 + ... + 375181.

It is an arithmetic number, because the mean of its divisors is an integer number (10501176).

Almost surely, 2^105011620 is an apocalyptic number.

105011620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011620 is an abundant number, since it is smaller than the sum of its proper divisors (147016604).

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

105011620 is a wasteful number, since it uses less digits than its factorization.

105011620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750099 (or 750097 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 105011620 is about 10247.5177482159. The cubic root of 105011620 is about 471.7868004386.

It can be divided in two parts, 10501 and 1620, that added together give a palindrome (12121).

The spelling of 105011620 in words is "one hundred five million, eleven thousand, six hundred twenty".