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106161446070 = 23351920694239
BaseRepresentation
bin110001011011110110…
…1110001110010110110
3101011000120111020022000
41202313231301302312
53214404312233240
6120434144120130
710445531255061
oct1426755616266
9334016436260
10106161446070
1141028406799
12186a9306046
13a01b184214
1451d14978d8
152b65113430
hex18b7b71cb6

106161446070 has 64 divisors (see below), whose sum is σ = 297997056000. Its totient is φ = 26819732448.

The previous prime is 106161446023. The next prime is 106161446071. The reversal of 106161446070 is 70644161601.

It is a happy number.

106161446070 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 1 + 44 + 607 + 0 = 666.

It is a super-2 number, since 2×1061614460702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106161446071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10341990 + ... + 10352249.

It is an arithmetic number, because the mean of its divisors is an integer number (4656204000).

Almost surely, 2106161446070 is an apocalyptic number.

106161446070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106161446070 is an abundant number, since it is smaller than the sum of its proper divisors (191835609930).

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

106161446070 is a wasteful number, since it uses less digits than its factorization.

106161446070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20694274 (or 20694268 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 106161446070 in words is "one hundred six billion, one hundred sixty-one million, four hundred forty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 20694239 41388478 62082717 103471195 124165434 186248151 206942390 310413585 372496302 393190541 558744453 620827170 786381082 931240755 1117488906 1179571623 1862481510 1965952705 2359143246 2793722265 3538714869 3931905410 5587444530 5897858115 7077429738 10616144607 11795716230 17693574345 21232289214 35387148690 53080723035 106161446070