105904681 has 9 divisors (see below), whose sum is σ = 108984919. Its totient is φ = 102910000.

The previous prime is 105904637. The next prime is 105904691. The reversal of 105904681 is 186409501.

The square root of 105904681 is 10291.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5103081 + 100801600 = 2259^2 + 10040^2 .

It is not a de Polignac number, because 105904681 - 2¹⁹ = 105380393 is a prime.

It is a super-2 number, since 2×105904681² = 22431602915423522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105904691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 421806 + ... + 422056.

Almost surely, 2^105904681 is an apocalyptic number.

105904681 is the 10291-st square number.

105904681 is the 5146-th centered octagonal number.

It is an amenable number.

105904681 is a deficient number, since it is larger than the sum of its proper divisors (3080238).

105904681 is an frugal number, since it uses more digits than its factorization.

105904681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 105904681 is about 473.1204484170.

The spelling of 105904681 in words is "one hundred five million, nine hundred four thousand, six hundred eighty-one".