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106055056104 = 233172511035613
BaseRepresentation
bin110001011000101011…
…1111011101011101000
3101010202011022001200220
41202301113323223220
53214200043243404
6120415423530040
710443100050204
oct1426127735350
9333664261626
10106055056104
1140a833503a8
1218679759920
13a00211408a
1451c12c1b04
152b5aaea4d9
hex18b15fbae8

106055056104 has 64 divisors (see below), whose sum is σ = 281852706240. Its totient is φ = 33139584000.

The previous prime is 106055056103. The next prime is 106055056109. The reversal of 106055056104 is 401650550601.

It is a super-2 number, since 2×1060550561042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055056103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415399 + ... + 620214.

It is an arithmetic number, because the mean of its divisors is an integer number (4403948535).

Almost surely, 2106055056104 is an apocalyptic number.

It is an amenable number.

106055056104 is an abundant number, since it is smaller than the sum of its proper divisors (175797650136).

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

106055056104 is a wasteful number, since it uses less digits than its factorization.

106055056104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035890 (or 1035886 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 106055056104 in words is "one hundred six billion, fifty-five million, fifty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 251 408 502 753 1004 1506 2008 3012 4267 6024 8534 12801 17068 25602 34136 51204 102408 1035613 2071226 3106839 4142452 6213678 8284904 12427356 17605421 24854712 35210842 52816263 70421684 105632526 140843368 211265052 259938863 422530104 519877726 779816589 1039755452 1559633178 2079510904 3119266356 4418960671 6238532712 8837921342 13256882013 17675842684 26513764026 35351685368 53027528052 106055056104