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106111605424 = 24112292632781
BaseRepresentation
bin110001011010010111…
…1101001101010110000
3101010220002201001210011
41202310233221222300
53214304032333144
6120425203544304
710444354523056
oct1426457515260
9333802631704
10106111605424
1141002264780
121869468b094
13a010a53506
1451c8a021d6
152b60a6aa34
hex18b4be9ab0

106111605424 has 40 divisors (see below), whose sum is σ = 225260827920. Its totient is φ = 48021907200.

The previous prime is 106111605409. The next prime is 106111605493. The reversal of 106111605424 is 424506111601.

It is a super-2 number, since 2×1061116054242 (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 (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1276087 + ... + 1356694.

It is an arithmetic number, because the mean of its divisors is an integer number (5631520698).

Almost surely, 2106111605424 is an apocalyptic number.

It is an amenable number.

106111605424 is an abundant number, since it is smaller than the sum of its proper divisors (119149222496).

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

106111605424 is a wasteful number, since it uses less digits than its factorization.

106111605424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633029 (or 2633023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 106111605424 in words is "one hundred six billion, one hundred eleven million, six hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2519 3664 5038 10076 20152 40304 2632781 5265562 10531124 21062248 28960591 42124496 57921182 115842364 231684728 463369456 602906849 1205813698 2411627396 4823254792 6631975339 9646509584 13263950678 26527901356 53055802712 106111605424