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106932085148 = 22721030152963
BaseRepresentation
bin110001110010110100…
…1100010000110011100
3101020000021120202101002
41203211221202012130
53222444103211043
6121042433405432
710503606504200
oct1434551420634
9336007522332
10106932085148
1141393413299
1218883409878
13a111a26c85
14526597cb00
152bacadabb8
hex18e5a6219c

106932085148 has 36 divisors (see below), whose sum is σ = 217708416072. Its totient is φ = 45822722400.

The previous prime is 106932085147. The next prime is 106932085201. The reversal of 106932085148 is 841580239601.

It is a happy number.

It is a super-2 number, since 2×1069320851482 (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 (106932085147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1992515 + ... + 2045477.

It is an arithmetic number, because the mean of its divisors is an integer number (6047456002).

Almost surely, 2106932085148 is an apocalyptic number.

It is an amenable number.

106932085148 is an abundant number, since it is smaller than the sum of its proper divisors (110776330924).

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

106932085148 is a wasteful number, since it uses less digits than its factorization.

106932085148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63282 (or 63273 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 106932085148 in words is "one hundred six billion, nine hundred thirty-two million, eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 10301 20602 41204 52963 72107 105926 144214 211852 288428 370741 504749 741482 1009498 1482964 2018996 2595187 5190374 10380748 545571863 1091143726 2182287452 3819003041 7638006082 15276012164 26733021287 53466042574 106932085148