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105536620316 = 221929211229991
BaseRepresentation
bin110001001001001111…
…0010000011100011100
3101002102000202210111102
41202102132100130130
53212114333322231
6120252144012232
710424203320461
oct1422236203434
9332360683442
10105536620316
1140837741976
1218554001078
139c4b8a583a
1451724cb668
152b2a33eacb
hex189279071c

105536620316 has 96 divisors (see below), whose sum is σ = 203153664000. Its totient is φ = 47780409600.

The previous prime is 105536620309. The next prime is 105536620337. The reversal of 105536620316 is 613026635501.

It is a super-2 number, since 2×1055366203162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 105536620316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106494581 + ... + 106495571.

It is an arithmetic number, because the mean of its divisors is an integer number (2116184000).

Almost surely, 2105536620316 is an apocalyptic number.

It is an amenable number.

105536620316 is a deficient number, since it is larger than the sum of its proper divisors (97617043684).

105536620316 is a wasteful number, since it uses less digits than its factorization.

105536620316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The spelling of 105536620316 in words is "one hundred five billion, five hundred thirty-six million, six hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 4 19 29 38 58 76 116 211 229 422 458 551 844 916 991 1102 1982 2204 3964 4009 4351 6119 6641 8018 8702 12238 13282 16036 17404 18829 24476 26564 28739 37658 48319 57478 75316 96638 114956 116261 126179 193276 209101 226939 232522 252358 418202 453878 465044 504716 546041 836404 907756 918061 1092082 1401251 1836122 2184164 2802502 3672244 3972919 4311841 5605004 6063929 6581231 7945838 8623682 12127858 13162462 15891676 17247364 24255716 26324924 26623769 47884129 53247538 95768258 106495076 115214651 125043389 191536516 230429302 250086778 460858604 500173556 909798451 1388639741 1819596902 2777279482 3639193804 5554558964 26384155079 52768310158 105536620316