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106602345 = 3354753317
BaseRepresentation
bin1100101101010…
…01111101101001
321102120221221000
412112221331221
5204242233340
614324505213
72433051003
oct626517551
9242527830
10106602345
11551a0a13
122b84b209
1319115a15
141022d373
15955ad30
hex65a9f69

106602345 has 64 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 54422784.

The previous prime is 106602343. The next prime is 106602371. The reversal of 106602345 is 543206601.

106602345 is a `hidden beast` number, since 10 + 6 + 602 + 3 + 45 = 666.

It is not a de Polignac number, because 106602345 - 21 = 106602343 is a prime.

It is a super-2 number, since 2×1066023452 = 22728119918998050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106602343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336127 + ... + 336443.

It is an arithmetic number, because the mean of its divisors is an integer number (3090960).

Almost surely, 2106602345 is an apocalyptic number.

106602345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106602345 is a deficient number, since it is larger than the sum of its proper divisors (91219095).

106602345 is a wasteful number, since it uses less digits than its factorization.

106602345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106602345 is about 10324.8411610058. The cubic root of 106602345 is about 474.1570942204.

Adding to 106602345 its reverse (543206601), we get a palindrome (649808946).

The spelling of 106602345 in words is "one hundred six million, six hundred two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 53 135 141 159 235 265 317 423 477 705 795 951 1269 1431 1585 2115 2385 2491 2853 4755 6345 7155 7473 8559 12455 14265 14899 16801 22419 37365 42795 44697 50403 67257 74495 84005 112095 134091 151209 223485 252015 336285 402273 453627 670455 756045 789647 2011365 2268135 2368941 3948235 7106823 11844705 21320469 35534115 106602345