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107376671100 = 223522237160001
BaseRepresentation
bin110010000000000100…
…1011111100101111100
3101021011021011001122110
41210000021133211330
53224401411433400
6121154514414020
710520615434146
oct1440011374574
9337137131573
10107376671100
11415a13712a6
1218988291310
13a182b7959a
1452a8a2bc96
152bd6b59e50
hex190025f97c

107376671100 has 72 divisors (see below), whose sum is σ = 310817325168. Its totient is φ = 28620800000.

The previous prime is 107376671053. The next prime is 107376671111. The reversal of 107376671100 is 1176673701.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 591100 + ... + 751100.

It is an arithmetic number, because the mean of its divisors is an integer number (4316907294).

Almost surely, 2107376671100 is an apocalyptic number.

107376671100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107376671100 is an abundant number, since it is smaller than the sum of its proper divisors (203440654068).

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

107376671100 is a wasteful number, since it uses less digits than its factorization.

107376671100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162255 (or 162248 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

It can be divided in two parts, 107376 and 671100, that multiplied together give a square (72060033600 = 2684402).

The spelling of 107376671100 in words is "one hundred seven billion, three hundred seventy-six million, six hundred seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2237 4474 6711 8948 11185 13422 22370 26844 33555 44740 55925 67110 111850 134220 160001 167775 223700 320002 335550 480003 640004 671100 800005 960006 1600010 1920012 2400015 3200020 4000025 4800030 8000050 9600060 12000075 16000100 24000150 48000300 357922237 715844474 1073766711 1431688948 1789611185 2147533422 3579222370 4295066844 5368833555 7158444740 8948055925 10737667110 17896111850 21475334220 26844167775 35792223700 53688335550 107376671100