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106107111439578 = 23223318267657117
BaseRepresentation
bin11000001000000011111100…
…101011110111110011011010
3111220200202000000220222120200
4120020003330223313303122
5102401424331012031303
61013400533431403030
731230662064650064
oct3010037453676332
9456622000828520
10106107111439578
1130899856223517
12ba98328b23476
134728b1c408a92
141c2b87c30a734
15c40151e703a3
hex6080fcaf7cda

106107111439578 has 48 divisors (see below), whose sum is σ = 247632865998336. Its totient is φ = 32739922179360.

The previous prime is 106107111439573. The next prime is 106107111439579. The reversal of 106107111439578 is 875934111701601.

106107111439578 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 71 + 114 + 395 + 78 = 666.

It is a super-2 number, since 2×1061071114395782 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106107111439573) 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, 4133815725 + ... + 4133841392.

It is an arithmetic number, because the mean of its divisors is an integer number (5159018041632).

Almost surely, 2106107111439578 is an apocalyptic number.

106107111439578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106107111439578 is an abundant number, since it is smaller than the sum of its proper divisors (141525754558758).

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

106107111439578 is a wasteful number, since it uses less digits than its factorization.

106107111439578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267657179 (or 8267657176 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 106107111439578 in words is "one hundred six trillion, one hundred seven billion, one hundred eleven million, four hundred thirty-nine thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 2139 4278 6417 12834 8267657117 16535314234 24802971351 49605942702 74408914053 148817828106 190156113691 256297370627 380312227382 512594741254 570468341073 768892111881 1140936682146 1537784223762 1711405023219 2306676335643 3422810046438 4613352671286 5894839524421 11789679048842 17684518573263 35369037146526 53053555719789 106107111439578