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106303959 = 32113104527
BaseRepresentation
bin1100101011000…
…01000111010111
321102000210121200
412111201013113
5204203211314
614314243543
72430366036
oct625410727
9242023550
10106303959
1155007813
122b7265b3
131903cc68
141019271d
1594ec709
hex65611d7

106303959 has 12 divisors (see below), whose sum is σ = 154910496. Its totient is φ = 70241472.

The previous prime is 106303957. The next prime is 106303961. The reversal of 106303959 is 959303601.

106303959 is a `hidden beast` number, since 10 + 630 + 3 + 9 + 5 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (106303957) and next prime (106303961).

It is not a de Polignac number, because 106303959 - 21 = 106303957 is a prime.

It is a super-2 number, since 2×1063039592 = 22601063398147362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106303957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51247 + ... + 53280.

It is an arithmetic number, because the mean of its divisors is an integer number (12909208).

Almost surely, 2106303959 is an apocalyptic number.

106303959 is a deficient number, since it is larger than the sum of its proper divisors (48606537).

106303959 is a wasteful number, since it uses less digits than its factorization.

106303959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104646 (or 104643 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 106303959 is about 10310.3811277760. The cubic root of 106303959 is about 473.7142832935.

The spelling of 106303959 in words is "one hundred six million, three hundred three thousand, nine hundred fifty-nine".

Divisors: 1 3 9 113 339 1017 104527 313581 940743 11811551 35434653 106303959