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106512414225105 = 3574481226378921
BaseRepresentation
bin11000001101111101011010…
…100111010011001011010001
3111222010111011021121202210110
4120031331122213103023101
5102430044411020200410
61014311043320551533
731302160626536160
oct3015753247231321
9458114137552713
10106512414225105
1130a3573006a099
12bb429a00225a9
13475810153a625
141c4332a86b3d7
15c4a97417e720
hex60df5a9d32d1

106512414225105 has 32 divisors (see below), whose sum is σ = 194809023053568. Its totient is φ = 48680522956800.

The previous prime is 106512414225073. The next prime is 106512414225109. The reversal of 106512414225105 is 501522414215601.

It is not a de Polignac number, because 106512414225105 - 25 = 106512414225073 is a prime.

It is a super-2 number, since 2×1065124142251052 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106512414225109) 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, 112718956 + ... + 113659965.

It is an arithmetic number, because the mean of its divisors is an integer number (6087781970424).

Almost surely, 2106512414225105 is an apocalyptic number.

106512414225105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106512414225105 is a deficient number, since it is larger than the sum of its proper divisors (88296608828463).

106512414225105 is a wasteful number, since it uses less digits than its factorization.

106512414225105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226383417.

The product of its (nonzero) digits is 96000, while the sum is 39.

The spelling of 106512414225105 in words is "one hundred six trillion, five hundred twelve billion, four hundred fourteen million, two hundred twenty-five thousand, one hundred five".

Divisors: 1 3 5 7 15 21 35 105 4481 13443 22405 31367 67215 94101 156835 470505 226378921 679136763 1131894605 1584652447 3395683815 4753957341 7923262235 23769786705 1014403945001 3043211835003 5072019725005 7100827615007 15216059175015 21302482845021 35504138075035 106512414225105