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105143016784 = 24134138332191
BaseRepresentation
bin110000111101100000…
…0110001110101010000
3101001101121010122221211
41201323000301311100
53210313103014114
6120145123425504
710411353616351
oct1417300616520
9331347118854
10105143016784
11406555457a3
1218464225294
139bb8193840
14513610dd28
152b059e16c4
hex187b031d50

105143016784 has 80 divisors (see below), whose sum is σ = 225329577984. Its totient is φ = 47218867200.

The previous prime is 105143016733. The next prime is 105143016841. The reversal of 105143016784 is 487610341501.

It is a super-2 number, since 2×1051430167842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 3250129 + ... + 3282319.

Almost surely, 2105143016784 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 105143016784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112664788992).

105143016784 is an abundant number, since it is smaller than the sum of its proper divisors (120186561200).

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

105143016784 is a wasteful number, since it uses less digits than its factorization.

105143016784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32636 (or 32630 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 105143016784 in words is "one hundred five billion, one hundred forty-three million, sixteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 383 533 656 766 1066 1532 2132 3064 4264 4979 6128 8528 9958 15703 19916 31406 32191 39832 62812 64382 79664 125624 128764 204139 251248 257528 408278 418483 515056 816556 836966 1319831 1633112 1673932 2639662 3266224 3347864 5279324 6695728 10558648 12329153 17157803 21117296 24658306 34315606 49316612 68631212 98633224 137262424 160278989 197266448 274524848 320557978 505495273 641115956 1010990546 1282231912 2021981092 2564463824 4043962184 6571438549 8087924368 13142877098 26285754196 52571508392 105143016784