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106145840 = 2451326823
BaseRepresentation
bin1100101001110…
…10100000110000
321101201202201102
412110322200300
5204133131330
614311023532
72426140043
oct624724060
9241652642
10106145840
1154a09a39
122b66aba8
1318cb5cb8
1410150c5a
1594ba945
hex653a830

106145840 has 20 divisors (see below), whose sum is σ = 246789264. Its totient is φ = 42458304.

The previous prime is 106145833. The next prime is 106145861. The reversal of 106145840 is 48541601.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1061458402 = 22533878698611200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663332 + ... + 663491.

Almost surely, 2106145840 is an apocalyptic number.

106145840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106145840 is an abundant number, since it is smaller than the sum of its proper divisors (140643424).

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

106145840 is a wasteful number, since it uses less digits than its factorization.

106145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326836 (or 1326830 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 106145840 is about 10302.7103230169. The cubic root of 106145840 is about 473.4792955038.

The spelling of 106145840 in words is "one hundred six million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1326823 2653646 5307292 6634115 10614584 13268230 21229168 26536460 53072920 106145840