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105720516 = 223211266971
BaseRepresentation
bin1100100110100…
…10101011000100
321100221011021200
412103102223010
5204031024031
614253542500
72422416036
oct623225304
9240834250
10105720516
1154749430
122b4a4a30
1318b97525
141007dc56
1594348e6
hex64d2ac4

105720516 has 36 divisors (see below), whose sum is σ = 291533424. Its totient is φ = 32036400.

The previous prime is 105720499. The next prime is 105720521. The reversal of 105720516 is 615027501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1057205162 = 22353655006612512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105720516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133090 + ... + 133881.

Almost surely, 2105720516 is an apocalyptic number.

It is an amenable number.

105720516 is an abundant number, since it is smaller than the sum of its proper divisors (185812908).

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

105720516 is a wasteful number, since it uses less digits than its factorization.

105720516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266992 (or 266987 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105720516 is about 10282.0482395289. The cubic root of 105720516 is about 472.8460419659.

The spelling of 105720516 in words is "one hundred five million, seven hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 266971 533942 800913 1067884 1601826 2402739 2936681 3203652 4805478 5873362 8810043 9610956 11746724 17620086 26430129 35240172 52860258 105720516