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106787670187205 = 5773274115248291
BaseRepresentation
bin11000010001111101110001…
…001001011101110011000101
3112000002210122100021102201102
4120101331301021131303011
5102444102122031442310
61015041324535305445
731331104005603410
oct3021756111356305
9460083570242642
10106787670187205
113103143a965497
12bb881ba81b285
134778059b82097
141c5279d614b77
15c52bd437b8a5
hex611f7125dcc5

106787670187205 has 32 divisors (see below), whose sum is σ = 148512020790528. Its totient is φ = 72196383628800.

The previous prime is 106787670187201. The next prime is 106787670187271. The reversal of 106787670187205 is 502781076787601.

It is not a de Polignac number, because 106787670187205 - 22 = 106787670187201 is a prime.

It is a super-4 number, since 4×1067876701872054 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106787670187201) 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, 620891 + ... + 14627400.

It is an arithmetic number, because the mean of its divisors is an integer number (4641000649704).

Almost surely, 2106787670187205 is an apocalyptic number.

It is an amenable number.

106787670187205 is a deficient number, since it is larger than the sum of its proper divisors (41724350603323).

106787670187205 is a wasteful number, since it uses less digits than its factorization.

106787670187205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15251117.

The product of its (nonzero) digits is 55319040, while the sum is 65.

The spelling of 106787670187205 in words is "one hundred six trillion, seven hundred eighty-seven billion, six hundred seventy million, one hundred eighty-seven thousand, two hundred five".

Divisors: 1 5 7 35 73 365 511 2555 2741 13705 19187 95935 200093 1000465 1400651 7003255 15248291 76241455 106738037 533690185 1113125243 5565626215 7791876701 38959383505 41795565631 208977828155 292568959417 1462844797085 3051076291063 15255381455315 21357534037441 106787670187205