105888801 has 16 divisors (see below), whose sum is σ = 150329088. Its totient is φ = 66067200.

The previous prime is 105888799. The next prime is 105888817. The reversal of 105888801 is 108888501.

It is not a de Polignac number, because 105888801 - 2¹ = 105888799 is a prime.

It is a super-2 number, since 2×105888801² = 22424876354435202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105888801.

It is not an unprimeable number, because it can be changed into a prime (105888821) 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, 3496 + ... + 14966.

It is an arithmetic number, because the mean of its divisors is an integer number (9395568).

Almost surely, 2^105888801 is an apocalyptic number.

It is an amenable number.

105888801 is a deficient number, since it is larger than the sum of its proper divisors (44440287).

105888801 is a wasteful number, since it uses less digits than its factorization.

105888801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672.

The product of its (nonzero) digits is 20480, while the sum is 39.

The square root of 105888801 is about 10290.2284231206. The cubic root of 105888801 is about 473.0967997038.

The spelling of 105888801 in words is "one hundred five million, eight hundred eighty-eight thousand, eight hundred one".