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105716025 = 3252469849
BaseRepresentation
bin1100100110100…
…01100100111001
321100220221010100
412103101210321
5204030403100
614253510013
72422366662
oct623214471
9240827110
10105716025
1154746018
122b4a2309
1318b9547c
141007c369
159433400
hex64d1939

105716025 has 18 divisors (see below), whose sum is σ = 189349550. Its totient is φ = 56381760.

The previous prime is 105716011. The next prime is 105716041. The reversal of 105716025 is 520617501.

105716025 is a `hidden beast` number, since 1 + 0 + 57 + 1 + 602 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9126441 + 96589584 = 3021^2 + 9828^2 .

It is not a de Polignac number, because 105716025 - 217 = 105584953 is a prime.

It is a super-2 number, since 2×1057160252 = 22351755883601250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105716025.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 234700 + ... + 235149.

Almost surely, 2105716025 is an apocalyptic number.

105716025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105716025 is a deficient number, since it is larger than the sum of its proper divisors (83633525).

105716025 is a wasteful number, since it uses less digits than its factorization.

105716025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469865 (or 469857 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 105716025 is about 10281.8298468706. The cubic root of 105716025 is about 472.8393463824.

The spelling of 105716025 in words is "one hundred five million, seven hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 469849 1409547 2349245 4228641 7047735 11746225 21143205 35238675 105716025