105551620 has 24 divisors (see below), whose sum is σ = 225842904. Its totient is φ = 41423616.

The previous prime is 105551609. The next prime is 105551629. The reversal of 105551620 is 26155501.

It can be written as a sum of positive squares in 4 ways, for example, as 36096064 + 69455556 = 6008^2 + 8334^2 .

It is a super-2 number, since 2×105551620² = 22282288969248800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105551629) 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 7 ways as a sum of consecutive naturals, for example, 48729 + ... + 50848.

It is an arithmetic number, because the mean of its divisors is an integer number (9410121).

Almost surely, 2^105551620 is an apocalyptic number.

105551620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105551620 is an abundant number, since it is smaller than the sum of its proper divisors (120291284).

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

105551620 is a wasteful number, since it uses less digits than its factorization.

105551620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99639 (or 99637 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 105551620 is about 10273.8318070718. The cubic root of 105551620 is about 472.5941060939.

The spelling of 105551620 in words is "one hundred five million, five hundred fifty-one thousand, six hundred twenty".