105681855 has 32 divisors (see below), whose sum is σ = 173122560. Its totient is φ = 55036800.

The previous prime is 105681833. The next prime is 105681869. The reversal of 105681855 is 558186501.

It is not a de Polignac number, because 105681855 - 2¹⁴ = 105665471 is a prime.

It is a super-2 number, since 2×105681855² = 22337308952482050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119244 + ... + 120126.

It is an arithmetic number, because the mean of its divisors is an integer number (5410080).

Almost surely, 2^105681855 is an apocalyptic number.

105681855 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105681855 is a deficient number, since it is larger than the sum of its proper divisors (67440705).

105681855 is a wasteful number, since it uses less digits than its factorization.

105681855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 48000, while the sum is 39.

The square root of 105681855 is about 10280.1680433736. The cubic root of 105681855 is about 472.7883964860.

It can be divided in two parts, 10 and 5681855, that added together give a palindrome (5681865).

The spelling of 105681855 in words is "one hundred five million, six hundred eighty-one thousand, eight hundred fifty-five".