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105470833 = 13127193331
BaseRepresentation
bin1100100100101…
…01101101110001
321100110110210011
412102111231301
5204000031313
614244334521
72420326066
oct622255561
9240413704
10105470833
1154598886
122b3a4441
1318b0a9a0
1410016c6d
1593d593d
hex6495b71

105470833 has 16 divisors (see below), whose sum is σ = 115419136. Its totient is φ = 95800320.

The previous prime is 105470809. The next prime is 105470857. The reversal of 105470833 is 338074501.

It is an interprime number because it is at equal distance from previous prime (105470809) and next prime (105470857).

It is a cyclic number.

It is not a de Polignac number, because 105470833 - 213 = 105462641 is a prime.

It is a super-2 number, since 2×1054708332 = 22248193227427778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105470795 and 105470804.

It is not an unprimeable number, because it can be changed into a prime (105470803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318478 + ... + 318808.

It is an arithmetic number, because the mean of its divisors is an integer number (7213696).

Almost surely, 2105470833 is an apocalyptic number.

105470833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105470833 is a deficient number, since it is larger than the sum of its proper divisors (9948303).

105470833 is a wasteful number, since it uses less digits than its factorization.

105470833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 105470833 is about 10269.8993665956. The cubic root of 105470833 is about 472.4735041085.

The spelling of 105470833 in words is "one hundred five million, four hundred seventy thousand, eight hundred thirty-three".

Divisors: 1 13 127 193 331 1651 2509 4303 24511 42037 63883 318643 546481 830479 8113141 105470833