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106708635 = 32511215573
BaseRepresentation
bin1100101110000…
…11111010011011
321102210100201200
412113003322123
5204304134020
614331045243
72434002615
oct627037233
9242710650
10106708635
1155263860
122b8a0823
1319152207
1410259db5
15957c590
hex65c3e9b

106708635 has 24 divisors (see below), whose sum is σ = 201777264. Its totient is φ = 51737280.

The previous prime is 106708631. The next prime is 106708681. The reversal of 106708635 is 536807601.

106708635 is a `hidden beast` number, since 10 + 6 + 7 + 0 + 8 + 635 = 666.

It is not a de Polignac number, because 106708635 - 22 = 106708631 is a prime.

It is a super-2 number, since 2×1067086352 = 22773465567126450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106708635.

It is not an unprimeable number, because it can be changed into a prime (106708631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107292 + ... + 108281.

It is an arithmetic number, because the mean of its divisors is an integer number (8407386).

Almost surely, 2106708635 is an apocalyptic number.

106708635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106708635 is a deficient number, since it is larger than the sum of its proper divisors (95068629).

106708635 is a wasteful number, since it uses less digits than its factorization.

106708635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215595 (or 215592 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106708635 is about 10329.9871732737. The cubic root of 106708635 is about 474.3146311446.

The spelling of 106708635 in words is "one hundred six million, seven hundred eight thousand, six hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 215573 646719 1077865 1940157 2371303 3233595 7113909 9700785 11856515 21341727 35569545 106708635