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106758963 = 32171514621
BaseRepresentation
bin1100101110100…
…00001100110011
321102212220202200
412113100030303
5204312241323
614332114243
72434302423
oct627201463
9242786680
10106758963
1155298653
122b905983
131916c0ac
1410270483
15958c443
hex65d0333

106758963 has 24 divisors (see below), whose sum is σ = 164395296. Its totient is φ = 66528000.

The previous prime is 106758961. The next prime is 106758983. The reversal of 106758963 is 369857601.

It is a happy number.

106758963 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 589 + 63 = 666.

It is not a de Polignac number, because 106758963 - 21 = 106758961 is a prime.

It is a super-2 number, since 2×1067589632 = 22794952361670738, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106758961) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20793 + ... + 25413.

It is an arithmetic number, because the mean of its divisors is an integer number (6849804).

Almost surely, 2106758963 is an apocalyptic number.

106758963 is a deficient number, since it is larger than the sum of its proper divisors (57636333).

106758963 is a wasteful number, since it uses less digits than its factorization.

106758963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 106758963 is about 10332.4229007528. The cubic root of 106758963 is about 474.3891879190.

The spelling of 106758963 in words is "one hundred six million, seven hundred fifty-eight thousand, nine hundred sixty-three".

Divisors: 1 3 9 17 51 151 153 453 1359 2567 4621 7701 13863 23103 41589 78557 235671 697771 707013 2093313 6279939 11862107 35586321 106758963