105402820 has 24 divisors (see below), whose sum is σ = 228979800. Its totient is φ = 40707072.

The previous prime is 105402797. The next prime is 105402853. The reversal of 105402820 is 28204501.

It can be written as a sum of positive squares in 4 ways, for example, as 29224836 + 76177984 = 5406^2 + 8728^2 .

It is a super-2 number, since 2×105402820² = 22219508927904800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402791 and 105402800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90285 + ... + 91444.

It is an arithmetic number, because the mean of its divisors is an integer number (9540825).

Almost surely, 2^105402820 is an apocalyptic number.

105402820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105402820 is an abundant number, since it is smaller than the sum of its proper divisors (123576980).

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

105402820 is a wasteful number, since it uses less digits than its factorization.

105402820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181767 (or 181765 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105402820 is about 10266.5875538077. The cubic root of 105402820 is about 472.3719238919.

The spelling of 105402820 in words is "one hundred five million, four hundred two thousand, eight hundred twenty".