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105697293 = 3132710187
BaseRepresentation
bin1100100110011…
…01000000001101
321100212222102120
412103031000031
5204024303133
614253243153
72422261242
oct623150015
9240788376
10105697293
1154732a39
122b4934b9
1318b89aa0
14100755c9
15942cab3
hex64cd00d

105697293 has 8 divisors (see below), whose sum is σ = 151770528. Its totient is φ = 65044464.

The previous prime is 105697289. The next prime is 105697297. The reversal of 105697293 is 392796501.

It is an interprime number because it is at equal distance from previous prime (105697289) and next prime (105697297).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105697293 - 22 = 105697289 is a prime.

It is a super-2 number, since 2×1056972932 = 22343835495055698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105697297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1355055 + ... + 1355132.

It is an arithmetic number, because the mean of its divisors is an integer number (18971316).

Almost surely, 2105697293 is an apocalyptic number.

105697293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105697293 is a deficient number, since it is larger than the sum of its proper divisors (46073235).

105697293 is a wasteful number, since it uses less digits than its factorization.

105697293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710203.

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 105697293 is about 10280.9188791664. The cubic root of 105697293 is about 472.8114170001.

The spelling of 105697293 in words is "one hundred five million, six hundred ninety-seven thousand, two hundred ninety-three".

Divisors: 1 3 13 39 2710187 8130561 35232431 105697293