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106087275 = 32527193349
BaseRepresentation
bin1100101001011…
…00001101101011
321101121210101100
412110230031223
5204124243100
614305452443
72425504230
oct624541553
9241553340
10106087275
1154979a38
122b641123
1318c95448
1410137787
1594a8400
hex652c36b

106087275 has 72 divisors (see below), whose sum is σ = 218909600. Its totient is φ = 48107520.

The previous prime is 106087271. The next prime is 106087309. The reversal of 106087275 is 572780601.

It is not a de Polignac number, because 106087275 - 22 = 106087271 is a prime.

It is a super-2 number, since 2×1060872752 = 22509019833851250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106087271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 303801 + ... + 304149.

Almost surely, 2106087275 is an apocalyptic number.

106087275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106087275 is an abundant number, since it is smaller than the sum of its proper divisors (112822325).

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

106087275 is a wasteful number, since it uses less digits than its factorization.

106087275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 106087275 is about 10299.8677175972. The cubic root of 106087275 is about 473.3922001882.

The spelling of 106087275 in words is "one hundred six million, eighty-seven thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 193 225 315 349 525 579 965 1047 1351 1575 1737 1745 2443 2895 3141 4053 4825 5235 6755 7329 8685 8725 12159 12215 14475 15705 20265 21987 26175 33775 36645 43425 60795 61075 67357 78525 101325 109935 183225 202071 303975 336785 471499 549675 606213 1010355 1414497 1683925 2357495 3031065 4243491 5051775 7072485 11787475 15155325 21217455 35362425 106087275