Search a number
-
+
105893696 = 261938573
BaseRepresentation
bin1100100111111…
…00111101000000
321101020221211202
412103330331000
5204102044241
614301400332
72424036656
oct623747500
9241227752
10105893696
1154857557
122b5690a8
1318c282bc
14100c6dd6
15946ad9b
hex64fcf40

105893696 has 28 divisors (see below), whose sum is σ = 211246212. Its totient is φ = 52666368.

The previous prime is 105893681. The next prime is 105893747. The reversal of 105893696 is 696398501.

It can be written as a sum of positive squares in 2 ways, for example, as 29855296 + 76038400 = 5464^2 + 8720^2 .

It is a super-2 number, since 2×1058936962 = 22426949705080832, 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 105893696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8066 + ... + 16638.

Almost surely, 2105893696 is an apocalyptic number.

105893696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105893696 is a deficient number, since it is larger than the sum of its proper divisors (105352516).

105893696 is an equidigital number, since it uses as much as digits as its factorization.

105893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8778 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 105893696 is about 10290.4662673758. The cubic root of 105893696 is about 473.1040896568.

The spelling of 105893696 in words is "one hundred five million, eight hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 193 386 772 1544 3088 6176 8573 12352 17146 34292 68584 137168 274336 548672 1654589 3309178 6618356 13236712 26473424 52946848 105893696