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105934153 = 1310180681
BaseRepresentation
bin1100101000001…
…10110101001001
321101100000100011
412110012311021
5204104343103
614302311521
72424265633
oct624066511
9241300304
10105934153
1154884996
122b5885a1
1318c40840
14100d7a53
159477d6d
hex6506d49

105934153 has 8 divisors (see below), whose sum is σ = 115213896. Its totient is φ = 96816000.

The previous prime is 105934151. The next prime is 105934163. The reversal of 105934153 is 351439501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61418569 + 44515584 = 7837^2 + 6672^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105934153 - 21 = 105934151 is a prime.

It is a super-2 number, since 2×1059341532 = 22444089543654818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105934151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39028 + ... + 41653.

It is an arithmetic number, because the mean of its divisors is an integer number (14401737).

Almost surely, 2105934153 is an apocalyptic number.

105934153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105934153 is a deficient number, since it is larger than the sum of its proper divisors (9279743).

105934153 is a wasteful number, since it uses less digits than its factorization.

105934153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80795.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105934153 is about 10292.4318312049. The cubic root of 105934153 is about 473.1643322581.

The spelling of 105934153 in words is "one hundred five million, nine hundred thirty-four thousand, one hundred fifty-three".

Divisors: 1 13 101 1313 80681 1048853 8148781 105934153