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106684695 = 3451323881
BaseRepresentation
bin1100101101111…
…10000100010111
321102202010220000
412112332010113
5204302402240
614330342343
72433543045
oct626760427
9242663800
10106684695
1155247877
122b88a9b3
1319144350
1410251395
159575430
hex65be117

106684695 has 80 divisors (see below), whose sum is σ = 215151552. Its totient is φ = 50181120.

The previous prime is 106684687. The next prime is 106684709. The reversal of 106684695 is 596486601.

It is not a de Polignac number, because 106684695 - 23 = 106684687 is a prime.

It is a super-2 number, since 2×1066846952 = 22763248294486050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106684695.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120655 + ... + 121535.

Almost surely, 2106684695 is an apocalyptic number.

106684695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106684695 is an abundant number, since it is smaller than the sum of its proper divisors (108466857).

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

106684695 is a wasteful number, since it uses less digits than its factorization.

106684695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 106684695 is about 10328.8283459451. The cubic root of 106684695 is about 474.2791577844.

The spelling of 106684695 in words is "one hundred six million, six hundred eighty-four thousand, six hundred ninety-five".

Divisors: 1 3 5 9 13 15 23 27 39 45 65 69 81 115 117 135 195 207 299 345 351 405 585 621 881 897 1035 1053 1495 1755 1863 2643 2691 3105 4405 4485 5265 7929 8073 9315 11453 13215 13455 20263 23787 24219 34359 39645 40365 57265 60789 71361 101315 103077 118935 121095 171795 182367 263419 303945 309231 356805 515385 547101 790257 911835 927693 1317095 1546155 1641303 2370771 2735505 3951285 4638465 7112313 8206515 11853855 21336939 35561565 106684695