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105701016 = 23325717137
BaseRepresentation
bin1100100110011…
…01111010011000
321100220011112110
412103031322120
5204024413031
614253312320
72422305141
oct623157230
9240804473
10105701016
1154735813
122b4956a0
1318b8b6a5
1410076ac8
15942dc46
hex64cde98

105701016 has 32 divisors (see below), whose sum is σ = 265296240. Its totient is φ = 35094528.

The previous prime is 105701003. The next prime is 105701017. The reversal of 105701016 is 610107501.

It is a super-2 number, since 2×1057010162 = 22345409566864512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105700983 and 105701001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105701017) 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, 2401 + ... + 14736.

Almost surely, 2105701016 is an apocalyptic number.

It is an amenable number.

105701016 is an abundant number, since it is smaller than the sum of its proper divisors (159595224).

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

105701016 is a wasteful number, since it uses less digits than its factorization.

105701016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17403 (or 17399 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 105701016 is about 10281.0999411542. The cubic root of 105701016 is about 472.8169682499.

Adding to 105701016 its reverse (610107501), we get a palindrome (715808517).

The spelling of 105701016 in words is "one hundred five million, seven hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 257 514 771 1028 1542 2056 3084 6168 17137 34274 51411 68548 102822 137096 205644 411288 4404209 8808418 13212627 17616836 26425254 35233672 52850508 105701016