105683655 has 64 divisors (see below), whose sum is σ = 216603648. Its totient is φ = 42716160.

The previous prime is 105683647. The next prime is 105683663. The reversal of 105683655 is 556386501.

It is an interprime number because it is at equal distance from previous prime (105683647) and next prime (105683663).

It is not a de Polignac number, because 105683655 - 2³ = 105683647 is a prime.

It is a super-2 number, since 2×105683655² = 22338069868318050, 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 63 ways as a sum of consecutive naturals, for example, 41499 + ... + 43971.

It is an arithmetic number, because the mean of its divisors is an integer number (3384432).

Almost surely, 2^105683655 is an apocalyptic number.

105683655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105683655 is an abundant number, since it is smaller than the sum of its proper divisors (110919993).

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

105683655 is a wasteful number, since it uses less digits than its factorization.

105683655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536.

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 105683655 is about 10280.2555902079. The cubic root of 105683655 is about 472.7910806878.

The spelling of 105683655 in words is "one hundred five million, six hundred eighty-three thousand, six hundred fifty-five".