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105696828 = 22322936023
BaseRepresentation
bin1100100110011…
…00111000111100
321100212221210100
412103030320330
5204024244303
614253241100
72422260006
oct623147074
9240787710
10105696828
1154732656
122b493190
1318b89803
1410075376
15942c8a3
hex64cce3c

105696828 has 18 divisors (see below), whose sum is σ = 267178184. Its totient is φ = 35232264.

The previous prime is 105696823. The next prime is 105696839. The reversal of 105696828 is 828696501.

105696828 is a `hidden beast` number, since 1 + 0 + 569 + 6 + 82 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1056968282 = 22343638898523168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105696823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1467976 + ... + 1468047.

Almost surely, 2105696828 is an apocalyptic number.

105696828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105696828 is an abundant number, since it is smaller than the sum of its proper divisors (161481356).

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

105696828 is a wasteful number, since it uses less digits than its factorization.

105696828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936033 (or 2936028 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 105696828 is about 10280.8962644314. The cubic root of 105696828 is about 472.8107236438.

The spelling of 105696828 in words is "one hundred five million, six hundred ninety-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2936023 5872046 8808069 11744092 17616138 26424207 35232276 52848414 105696828