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106394697124 = 2231252612
BaseRepresentation
bin110001100010110011…
…1100011110110100100
3101011121211101121120221
41203011213203312210
53220344020301444
6120513235334124
710454363001232
oct1430547436644
9334554347527
10106394697124
114113803a761
1218753451344
13a0575b11b1
145214453952
152b7a839a84
hex18c59e3da4

106394697124 has 27 divisors (see below), whose sum is σ = 192427195233. Its totient is φ = 51471519600.

The previous prime is 106394697121. The next prime is 106394697139. The reversal of 106394697124 is 421796493601.

The square root of 106394697124 is 326182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79196090724 + 27198606400 = 281418^2 + 164920^2 .

It is a super-2 number, since 2×1063946971242 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106394697121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20220654 + ... + 20225914.

Almost surely, 2106394697124 is an apocalyptic number.

106394697124 is the 326182-nd square number.

It is an amenable number.

106394697124 is a deficient number, since it is larger than the sum of its proper divisors (86032498109).

106394697124 is an frugal number, since it uses more digits than its factorization.

106394697124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 106394697124 in words is "one hundred six billion, three hundred ninety-four million, six hundred ninety-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 31 62 124 961 1922 3844 5261 10522 21044 163091 326182 652364 5055821 10111642 20223284 27678121 55356242 110712484 858021751 1716043502 3432087004 26598674281 53197348562 106394697124