105526420 has 24 divisors (see below), whose sum is σ = 221810400. Its totient is φ = 42171552.

The previous prime is 105526409. The next prime is 105526423. The reversal of 105526420 is 24625501.

It is a super-2 number, since 2×105526420² = 22271650636032800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105526423) 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, 30751 + ... + 34009.

It is an arithmetic number, because the mean of its divisors is an integer number (9242100).

Almost surely, 2^105526420 is an apocalyptic number.

105526420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105526420 is an abundant number, since it is smaller than the sum of its proper divisors (116283980).

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

105526420 is a wasteful number, since it uses less digits than its factorization.

105526420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105526420 is about 10272.6053170556. The cubic root of 105526420 is about 472.5564931566.

The spelling of 105526420 in words is "one hundred five million, five hundred twenty-six thousand, four hundred twenty".