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106984122367 = 15716319721221
BaseRepresentation
bin110001110100011000…
…0000010011111111111
3101020010220111112000111
41203220300002133333
53223100413403432
6121051533010451
710505111015203
oct1435060023777
9336126445014
10106984122367
114140a825661
1218898923a27
13a11c746725
14526c846b03
152bb2469347
hex18e8c027ff

106984122367 has 16 divisors (see below), whose sum is σ = 108881083872. Its totient is φ = 105109280640.

The previous prime is 106984122361. The next prime is 106984122389. The reversal of 106984122367 is 763221489601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106984122367 - 23 = 106984122359 is a prime.

It is a super-2 number, since 2×1069841223672 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106984122367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106984122361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5030817 + ... + 5052037.

It is an arithmetic number, because the mean of its divisors is an integer number (6805067742).

Almost surely, 2106984122367 is an apocalyptic number.

106984122367 is a deficient number, since it is larger than the sum of its proper divisors (1896961505).

106984122367 is a wasteful number, since it uses less digits than its factorization.

106984122367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21738.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 106984122367 in words is "one hundred six billion, nine hundred eighty-four million, one hundred twenty-two thousand, three hundred sixty-seven".

Divisors: 1 157 163 197 21221 25591 30929 32111 3331697 3459023 4180537 5041427 543066611 656344309 681427531 106984122367