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105389358 = 231723167269
BaseRepresentation
bin1100100100000…
…01110100101110
321100022100000120
412102001310232
5203434424413
614242505410
72416536414
oct622016456
9240270016
10105389358
1154542648
122b365266
1318aac889
14ddd52b4
1593bb723
hex6481d2e

105389358 has 64 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 31319552.

The previous prime is 105389353. The next prime is 105389363. The reversal of 105389358 is 853983501.

It is an interprime number because it is at equal distance from previous prime (105389353) and next prime (105389363).

It is a super-2 number, since 2×1053893582 = 22213833559304328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105389353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391648 + ... + 391916.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2105389358 is an apocalyptic number.

105389358 is an abundant number, since it is smaller than the sum of its proper divisors (129756882).

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

105389358 is a wasteful number, since it uses less digits than its factorization.

105389358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 105389358 is about 10265.9319109373. The cubic root of 105389358 is about 472.3518126602.

The spelling of 105389358 in words is "one hundred five million, three hundred eighty-nine thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 167 269 334 391 501 538 782 807 1002 1173 1614 2346 2839 3841 4573 5678 6187 7682 8517 9146 11523 12374 13719 17034 18561 23046 27438 37122 44923 65297 89846 105179 130594 134769 195891 210358 269538 315537 391782 631074 763691 1033229 1527382 2066458 2291073 3099687 4582146 6199374 17564893 35129786 52694679 105389358