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106667237745 = 3354119271407
BaseRepresentation
bin110001101010111011…
…1001110000101110001
3101012022211020010001000
41203111313032011301
53221423303101440
6121000253032213
710464212363265
oct1432567160561
9335284203030
10106667237745
1141267969542
121880a785669
13a09bbb6533
14523c71a0a5
152b94722730
hex18d5dce171

106667237745 has 32 divisors (see below), whose sum is σ = 194255792640. Its totient is φ = 55501649280.

The previous prime is 106667237737. The next prime is 106667237767. The reversal of 106667237745 is 547732766601.

It is a happy number.

It is not a de Polignac number, because 106667237745 - 23 = 106667237737 is a prime.

It is a super-2 number, since 2×1066672377452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106667237691 and 106667237700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9630169 + ... + 9641238.

It is an arithmetic number, because the mean of its divisors is an integer number (6070493520).

Almost surely, 2106667237745 is an apocalyptic number.

106667237745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106667237745 is a deficient number, since it is larger than the sum of its proper divisors (87588554895).

106667237745 is a wasteful number, since it uses less digits than its factorization.

106667237745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19271462 (or 19271456 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 106667237745 in words is "one hundred six billion, six hundred sixty-seven million, two hundred thirty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 1107 1845 5535 19271407 57814221 96357035 173442663 289071105 520327989 790127687 867213315 2370383061 2601639945 3950638435 7111149183 11851915305 21333447549 35555745915 106667237745