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105681901 = 1321413797
BaseRepresentation
bin1100100110010…
…01001111101101
321100212012022111
412103021033231
5204023310101
614253044021
72422165333
oct623111755
9240765274
10105681901
1154722416
122b486611
1318b82a90
141006db53
159428251
hex64c93ed

105681901 has 8 divisors (see below), whose sum is σ = 113894424. Its totient is φ = 97481280.

The previous prime is 105681899. The next prime is 105681913. The reversal of 105681901 is 109186501.

It can be written as a sum of positive squares in 4 ways, for example, as 2253001 + 103428900 = 1501^2 + 10170^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105681901 - 21 = 105681899 is a prime.

It is a super-2 number, since 2×1056819012 = 22337328397947602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105681001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25935 + ... + 29731.

It is an arithmetic number, because the mean of its divisors is an integer number (14236803).

Almost surely, 2105681901 is an apocalyptic number.

It is an amenable number.

105681901 is a deficient number, since it is larger than the sum of its proper divisors (8212523).

105681901 is a wasteful number, since it uses less digits than its factorization.

105681901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951.

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 105681901 is about 10280.1702806909. The cubic root of 105681901 is about 472.7884650827.

The spelling of 105681901 in words is "one hundred five million, six hundred eighty-one thousand, nine hundred one".

Divisors: 1 13 2141 3797 27833 49361 8129377 105681901