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106870763 = 1937281541
BaseRepresentation
bin1100101111010…
…11011111101011
321110002121010102
412113223133223
5204324331023
614334340015
72435246366
oct627533753
9243077112
10106870763
115536464a
122b95a60b
13191aac4c
141029d0dd
1595b0628
hex65eb7eb

106870763 has 16 divisors (see below), whose sum is σ = 116161440. Its totient is φ = 97977600.

The previous prime is 106870739. The next prime is 106870769. The reversal of 106870763 is 367078601.

It is a cyclic number.

It is not a de Polignac number, because 106870763 - 28 = 106870507 is a prime.

It is a super-2 number, since 2×1068707632 = 22842719968404338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106870769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197273 + ... + 197813.

It is an arithmetic number, because the mean of its divisors is an integer number (7260090).

Almost surely, 2106870763 is an apocalyptic number.

106870763 is a deficient number, since it is larger than the sum of its proper divisors (9290677).

106870763 is a wasteful number, since it uses less digits than its factorization.

106870763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 106870763 is about 10337.8316391785. The cubic root of 106870763 is about 474.5547265829.

The spelling of 106870763 in words is "one hundred six million, eight hundred seventy thousand, seven hundred sixty-three".

Divisors: 1 19 37 281 541 703 5339 10279 10397 20017 152021 197543 380323 2888399 5624777 106870763