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106160106144 = 2531105834439
BaseRepresentation
bin110001011011110100…
…0101010101010100000
3101011000110222011021010
41202313220222222200
53214403441344034
6120434055300520
710445514004431
oct1426750525240
9334013864233
10106160106144
1141027681014
12186a897a740
13a01ab05371
1451d1229488
152b64e4b3e9
hex18b7a2aaa0

106160106144 has 24 divisors (see below), whose sum is σ = 278670278880. Its totient is φ = 35386702016.

The previous prime is 106160106131. The next prime is 106160106187. The reversal of 106160106144 is 441601061601.

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

It is a super-2 number, since 2×1061601061442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 552917124 + ... + 552917315.

It is an arithmetic number, because the mean of its divisors is an integer number (11611261620).

Almost surely, 2106160106144 is an apocalyptic number.

It is an amenable number.

106160106144 is an abundant number, since it is smaller than the sum of its proper divisors (172510172736).

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

106160106144 is a wasteful number, since it uses less digits than its factorization.

106160106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105834452 (or 1105834444 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 106160106144 its reverse (441601061601), we get a palindrome (547761167745).

The spelling of 106160106144 in words is "one hundred six billion, one hundred sixty million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1105834439 2211668878 3317503317 4423337756 6635006634 8846675512 13270013268 17693351024 26540026536 35386702048 53080053072 106160106144