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106064370 = 2335392831
BaseRepresentation
bin1100101001001…
…10100111110010
321101120121222000
412110212213302
5204123024440
614305154430
72425350366
oct624464762
9241517860
10106064370
1154963805
122b62ba16
1318c87ba9
141012d2a6
1594a1730
hex65269f2

106064370 has 32 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 28283760.

The previous prime is 106064323. The next prime is 106064381. The reversal of 106064370 is 73460601.

106064370 is a `hidden beast` number, since 10 + 6 + 0 + 643 + 7 + 0 = 666.

It is a super-2 number, since 2×1060643702 = 22499301166993800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196146 + ... + 196685.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2106064370 is an apocalyptic number.

106064370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106064370 is an abundant number, since it is smaller than the sum of its proper divisors (176774670).

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

106064370 is a wasteful number, since it uses less digits than its factorization.

106064370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392847 (or 392841 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106064370 is about 10298.7557500894. The cubic root of 106064370 is about 473.3581281508.

The spelling of 106064370 in words is "one hundred six million, sixty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 392831 785662 1178493 1964155 2356986 3535479 3928310 5892465 7070958 10606437 11784930 17677395 21212874 35354790 53032185 106064370