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105162144 = 2531095439
BaseRepresentation
bin1100100010010…
…10010110100000
321022212210100020
412101022112200
5203410142034
614233553440
72414602113
oct621122640
9238783306
10105162144
11543a796a
122b275880
1318a30329
14dd7657a
159374249
hex644a5a0

105162144 has 24 divisors (see below), whose sum is σ = 276050880. Its totient is φ = 35054016.

The previous prime is 105162107. The next prime is 105162173. The reversal of 105162144 is 441261501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1051621442 = 22118153061353472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 547624 + ... + 547815.

It is an arithmetic number, because the mean of its divisors is an integer number (11502120).

Almost surely, 2105162144 is an apocalyptic number.

It is an amenable number.

105162144 is an abundant number, since it is smaller than the sum of its proper divisors (170888736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105162144 is a wasteful number, since it uses less digits than its factorization.

105162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095452 (or 1095444 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105162144 is about 10254.8595309736. The cubic root of 105162144 is about 472.0121130665.

The spelling of 105162144 in words is "one hundred five million, one hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1095439 2190878 3286317 4381756 6572634 8763512 13145268 17527024 26290536 35054048 52581072 105162144