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106213625 = 537217341
BaseRepresentation
bin1100101010010…
…11000011111001
321101212012200222
412111023003321
5204142314000
614312305425
72426541500
oct625130371
9241765628
10106213625
1154a55961
122b6a2275
131900aacb
141016b837
1594d0a85
hex654b0f9

106213625 has 24 divisors (see below), whose sum is σ = 154205064. Its totient is φ = 72828000.

The previous prime is 106213543. The next prime is 106213649. The reversal of 106213625 is 526312601.

It can be written as a sum of positive squares in 4 ways, for example, as 41209 + 106172416 = 203^2 + 10304^2 .

It is not a de Polignac number, because 106213625 - 28 = 106213369 is a prime.

It is a super-2 number, since 2×1062136252 = 22562668271281250, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106213594 and 106213603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2546 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (6425211).

Almost surely, 2106213625 is an apocalyptic number.

It is an amenable number.

106213625 is a deficient number, since it is larger than the sum of its proper divisors (47991439).

106213625 is an equidigital number, since it uses as much as digits as its factorization.

106213625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17370 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106213625 is about 10305.9994663303. Note that the first 3 decimals coincide. The cubic root of 106213625 is about 473.5800624125.

The spelling of 106213625 in words is "one hundred six million, two hundred thirteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 875 1225 6125 17341 86705 121387 433525 606935 849709 2167625 3034675 4248545 15173375 21242725 106213625