105405990 has 32 divisors (see below), whose sum is σ = 253704960. Its totient is φ = 28027104.

The previous prime is 105405973. The next prime is 105405997. The reversal of 105405990 is 99504501.

It is a super-2 number, since 2×105405990² = 22220845455760200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105405997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5877 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (7928280).

Almost surely, 2^105405990 is an apocalyptic number.

105405990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105405990 is an abundant number, since it is smaller than the sum of its proper divisors (148298970).

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

105405990 is a wasteful number, since it uses less digits than its factorization.

105405990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156.

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105405990 is about 10266.7419369535. The cubic root of 105405990 is about 472.3766593882.

The spelling of 105405990 in words is "one hundred five million, four hundred five thousand, nine hundred ninety".