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106861360 = 2458211627
BaseRepresentation
bin1100101111010…
…01001100110000
321110002010020011
412113221030300
5204324030420
614334224304
72435210104
oct627511460
9243063204
10106861360
1155358581
122b955094
13191a6898
1410299904
1595ac95a
hex65e9330

106861360 has 40 divisors (see below), whose sum is σ = 248908176. Its totient is φ = 42666240.

The previous prime is 106861327. The next prime is 106861361. The reversal of 106861360 is 63168601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1068613602 = 22838700522099200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106861361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64867 + ... + 66493.

Almost surely, 2106861360 is an apocalyptic number.

106861360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106861360 is an abundant number, since it is smaller than the sum of its proper divisors (142046816).

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

106861360 is a wasteful number, since it uses less digits than its factorization.

106861360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 106861360 is about 10337.3768432809. The cubic root of 106861360 is about 474.5408083111.

The spelling of 106861360 in words is "one hundred six million, eight hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 821 1627 1642 3254 3284 4105 6508 6568 8135 8210 13016 13136 16270 16420 26032 32540 32840 65080 65680 130160 1335767 2671534 5343068 6678835 10686136 13357670 21372272 26715340 53430680 106861360