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106083696 = 2432210077
BaseRepresentation
bin1100101001010…
…11010101110000
321101121121110210
412110223111300
5204124134241
614305424120
72425460625
oct624532560
9241547423
10106083696
1154977284
122b63b040
1318c93924
141013634c
1594a7316
hex652b570

106083696 has 20 divisors (see below), whose sum is σ = 274049672. Its totient is φ = 35361216.

The previous prime is 106083671. The next prime is 106083737. The reversal of 106083696 is 696380601.

It is a happy number.

It is a super-2 number, since 2×1060836962 = 22507501114040832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104991 + ... + 1105086.

Almost surely, 2106083696 is an apocalyptic number.

106083696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106083696 is an abundant number, since it is smaller than the sum of its proper divisors (167965976).

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

106083696 is a wasteful number, since it uses less digits than its factorization.

106083696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210088 (or 2210082 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 106083696 is about 10299.6939760364. The cubic root of 106083696 is about 473.3868766162.

The spelling of 106083696 in words is "one hundred six million, eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2210077 4420154 6630231 8840308 13260462 17680616 26520924 35361232 53041848 106083696