105380906 has 16 divisors (see below), whose sum is σ = 162214920. Its totient is φ = 51313920.

The previous prime is 105380893. The next prime is 105380923. The reversal of 105380906 is 609083501.

It can be written as a sum of positive squares in 4 ways, for example, as 95863681 + 9517225 = 9791^2 + 3085^2 .

It is a super-2 number, since 2×105380906² = 22210270698761672, which contains 22 as substring.

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, 81110 + ... + 82398.

Almost surely, 2^105380906 is an apocalyptic number.

105380906 is a deficient number, since it is larger than the sum of its proper divisors (56834014).

105380906 is a wasteful number, since it uses less digits than its factorization.

105380906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105380906 is about 10265.5202498461. The cubic root of 105380906 is about 472.3391851226.

The spelling of 105380906 in words is "one hundred five million, three hundred eighty thousand, nine hundred six".