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106126460 = 22511482393
BaseRepresentation
bin1100101001101…
…01110001111100
321101200210010122
412110311301330
5204132021320
614310354112
72426026406
oct624656174
9241623118
10106126460
11549a6420
122b65b938
1318caa22b
1410147b76
1594b4d25
hex6535c7c

106126460 has 24 divisors (see below), whose sum is σ = 243126576. Its totient is φ = 38591360.

The previous prime is 106126453. The next prime is 106126463. The reversal of 106126460 is 64621601.

It is a happy number.

It is a super-2 number, since 2×1061264602 = 22525651024263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106126463) 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, 240977 + ... + 241416.

It is an arithmetic number, because the mean of its divisors is an integer number (10130274).

Almost surely, 2106126460 is an apocalyptic number.

106126460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106126460 is an abundant number, since it is smaller than the sum of its proper divisors (137000116).

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

106126460 is a wasteful number, since it uses less digits than its factorization.

106126460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482413 (or 482411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106126460 is about 10301.7697508729. The cubic root of 106126460 is about 473.4504779597.

The spelling of 106126460 in words is "one hundred six million, one hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 482393 964786 1929572 2411965 4823930 5306323 9647860 10612646 21225292 26531615 53063230 106126460