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105422557488 = 24323487196081
BaseRepresentation
bin110001000101110101…
…1001001000100110000
3101002010002010210201020
41202023223021010300
53211401133314423
6120232551135440
710421316645003
oct1421353110460
9332102123636
10105422557488
1140789315876
1218521974580
139c3107a141
1451612b953a
152b2030d4e3
hex188bac9130

105422557488 has 80 divisors (see below), whose sum is σ = 284767535616. Its totient is φ = 33543797760.

The previous prime is 105422557447. The next prime is 105422557519. The reversal of 105422557488 is 884755224501.

It is a happy number.

It is a super-2 number, since 2×1054225574882 (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 105422557488.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439608 + ... + 635688.

Almost surely, 2105422557488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105422557488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142383767808).

105422557488 is an abundant number, since it is smaller than the sum of its proper divisors (179344978128).

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

105422557488 is a wasteful number, since it uses less digits than its factorization.

105422557488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196602 (or 196596 counting only the distinct ones).

The product of its (nonzero) digits is 3584000, while the sum is 51.

The spelling of 105422557488 in words is "one hundred five billion, four hundred twenty-two million, five hundred fifty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 487 552 974 1104 1461 1948 2922 3896 5844 7792 11201 11688 22402 23376 33603 44804 67206 89608 134412 179216 196081 268824 392162 537648 588243 784324 1176486 1568648 2352972 3137296 4509863 4705944 9019726 9411888 13529589 18039452 27059178 36078904 54118356 72157808 95491447 108236712 190982894 216473424 286474341 381965788 572948682 763931576 1145897364 1527863152 2196303281 2291794728 4392606562 4583589456 6588909843 8785213124 13177819686 17570426248 26355639372 35140852496 52711278744 105422557488