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1106105064 = 233192425669
BaseRepresentation
bin100000111101101…
…1101001011101000
32212002022221220020
41001323131023220
54231130330224
6301431400440
736260511051
oct10173351350
92762287806
101106105064
11518405119
1226a523120
1314820a74c
14a6c8b728
156718ec79
hex41edd2e8

1106105064 has 32 divisors (see below), whose sum is σ = 2910804000. Its totient is φ = 349296192.

The previous prime is 1106105059. The next prime is 1106105069. The reversal of 1106105064 is 4605016011.

1106105064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1106105059) and next prime (1106105069).

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

It is not an unprimeable number, because it can be changed into a prime (1106105069) 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, 1212379 + ... + 1213290.

It is an arithmetic number, because the mean of its divisors is an integer number (90962625).

Almost surely, 21106105064 is an apocalyptic number.

It is an amenable number.

1106105064 is an abundant number, since it is smaller than the sum of its proper divisors (1804698936).

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

1106105064 is a wasteful number, since it uses less digits than its factorization.

1106105064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425697 (or 2425693 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1106105064 is about 33258.1578563816. The cubic root of 1106105064 is about 1034.1863314907.

The spelling of 1106105064 in words is "one billion, one hundred six million, one hundred five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 2425669 4851338 7277007 9702676 14554014 19405352 29108028 46087711 58216056 92175422 138263133 184350844 276526266 368701688 553052532 1106105064