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106505016550160 = 2451331312706877
BaseRepresentation
bin11000001101110110100001…
…101011011010001100010000
3111222002210001201120221112112
4120031312201223122030100
5102424434233214101120
61014303421255044452
731301506411410554
oct3015664153321420
9458083051527475
10106505016550160
1130a32584298448
12bb41476670728
1347574c2a28487
141c42c28193864
15c4a68e9b0bc5
hex60dda1ada310

106505016550160 has 20 divisors (see below), whose sum is σ = 247624163479308. Its totient is φ = 42602006620032.

The previous prime is 106505016550133. The next prime is 106505016550189. The reversal of 106505016550160 is 61055610505601.

It can be written as a sum of positive squares in 2 ways, for example, as 48355668222976 + 58149348327184 = 6953824^2 + 7625572^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1065050165501602 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 665656353359 + ... + 665656353518.

Almost surely, 2106505016550160 is an apocalyptic number.

106505016550160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106505016550160 is an abundant number, since it is smaller than the sum of its proper divisors (141119146929148).

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

106505016550160 is a wasteful number, since it uses less digits than its factorization.

106505016550160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331312706890 (or 1331312706884 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 106505016550160 in words is "one hundred six trillion, five hundred five billion, sixteen million, five hundred fifty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1331312706877 2662625413754 5325250827508 6656563534385 10650501655016 13313127068770 21301003310032 26626254137540 53252508275080 106505016550160