105851408 has 20 divisors (see below), whose sum is σ = 220863468. Its totient is φ = 48854400.

The previous prime is 105851407. The next prime is 105851437. The reversal of 105851408 is 804158501.

It can be written as a sum of positive squares in 2 ways, for example, as 14992384 + 90859024 = 3872^2 + 9532^2 .

It is a super-2 number, since 2×105851408² = 22409041151164928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105851407) 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 3 ways as a sum of consecutive naturals, for example, 254243 + ... + 254658.

Almost surely, 2^105851408 is an apocalyptic number.

It is an amenable number.

105851408 is an abundant number, since it is smaller than the sum of its proper divisors (115012060).

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

105851408 is a wasteful number, since it uses less digits than its factorization.

105851408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508922 (or 508916 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 105851408 is about 10288.4113448093. The cubic root of 105851408 is about 473.0411041967.

The spelling of 105851408 in words is "one hundred five million, eight hundred fifty-one thousand, four hundred eight".