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106516015155 = 32511534060073
BaseRepresentation
bin110001100110011011…
…0010110100000110011
3101011221021200012122100
41203030312112200303
53221121044441110
6120533251511443
710460365122144
oct1431466264063
9334837605570
10106516015155
114119a5717a0
1218787bb8583
13a07677a004
1452265d3acb
152b86300bc0
hex18ccd96833

106516015155 has 48 divisors (see below), whose sum is σ = 205212380256. Its totient is φ = 50669698560.

The previous prime is 106516015147. The next prime is 106516015217. The reversal of 106516015155 is 551510615601.

It is a happy number.

It is not a de Polignac number, because 106516015155 - 23 = 106516015147 is a prime.

It is a super-2 number, since 2×1065160151552 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2003802 + ... + 2056271.

It is an arithmetic number, because the mean of its divisors is an integer number (4275257922).

Almost surely, 2106516015155 is an apocalyptic number.

106516015155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106516015155 is a deficient number, since it is larger than the sum of its proper divisors (98696365101).

106516015155 is a wasteful number, since it uses less digits than its factorization.

106516015155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060148 (or 4060145 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106516015155 in words is "one hundred six billion, five hundred sixteen million, fifteen thousand, one hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 53 55 99 159 165 265 477 495 583 795 1749 2385 2915 5247 8745 26235 4060073 12180219 20300365 36540657 44660803 60901095 133982409 182703285 215183869 223304015 401947227 645551607 669912045 1075919345 1936654821 2009736135 2367022559 3227758035 7101067677 9683274105 11835112795 21303203031 35505338385 106516015155