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105496053 = 3132251829
BaseRepresentation
bin1100100100110…
…11110111110101
321100111202101020
412102123313311
5204001333203
614245051353
72420462445
oct622336765
9240452336
10105496053
1154605823
122b3b6b59
1318b19300
1410022125
1593dd153
hex649bdf5

105496053 has 24 divisors (see below), whose sum is σ = 153105120. Its totient is φ = 64584000.

The previous prime is 105496049. The next prime is 105496081. The reversal of 105496053 is 350694501.

It is a happy number.

It is not a de Polignac number, because 105496053 - 22 = 105496049 is a prime.

It is a super-2 number, since 2×1054960532 = 22258834397157618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105496043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126843 + ... + 127671.

It is an arithmetic number, because the mean of its divisors is an integer number (6379380).

Almost surely, 2105496053 is an apocalyptic number.

105496053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105496053 is a deficient number, since it is larger than the sum of its proper divisors (47609067).

105496053 is a wasteful number, since it uses less digits than its factorization.

105496053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 105496053 is about 10271.1271533362. The cubic root of 105496053 is about 472.5111601183.

The spelling of 105496053 in words is "one hundred five million, four hundred ninety-six thousand, fifty-three".

Divisors: 1 3 13 39 169 251 507 753 829 2487 3263 9789 10777 32331 42419 127257 140101 208079 420303 624237 2705027 8115081 35165351 105496053