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105917810432 = 28728443703
BaseRepresentation
bin110001010100100110…
…0011000011100000000
3101010101121001021000212
41202221030120130000
53213404424413212
6120354042133252
710436512351100
oct1425114303400
9333347037025
10105917810432
1140a1292a725
121863b7b1228
139cac85c615
1451aad97200
152b4da39e22
hex18a9318700

105917810432 has 54 divisors (see below), whose sum is σ = 245939766408. Its totient is φ = 45393341952.

The previous prime is 105917810423. The next prime is 105917810443. The reversal of 105917810432 is 234018719501.

It is a super-2 number, since 2×1059178104322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105917810432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4209308 + ... + 4234395.

Almost surely, 2105917810432 is an apocalyptic number.

It is an amenable number.

105917810432 is an abundant number, since it is smaller than the sum of its proper divisors (140021955976).

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

105917810432 is an frugal number, since it uses more digits than its factorization.

105917810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443733 (or 8443712 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 105917810432 in words is "one hundred five billion, nine hundred seventeen million, eight hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 8443703 16887406 33774812 59105921 67549624 118211842 135099248 236423684 270198496 413741447 472847368 540396992 827482894 945694736 1080793984 1654965788 1891389472 2161587968 3309931576 3782778944 6619863152 7565557888 13239726304 15131115776 26479452608 52958905216 105917810432