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106063848 = 233211133919
BaseRepresentation
bin1100101001001…
…10011111101000
321101120121020200
412110212133220
5204123020343
614305152200
72425346022
oct624463750
9241517220
10106063848
1154963380
122b62b660
1318c87897
141012d012
1594a14d3
hex65267e8

106063848 has 48 divisors (see below), whose sum is σ = 313372800. Its totient is φ = 32140320.

The previous prime is 106063829. The next prime is 106063861. The reversal of 106063848 is 848360601.

It is a happy number.

106063848 is a `hidden beast` number, since 1 + 0 + 606 + 3 + 8 + 48 = 666.

It is a super-2 number, since 2×1060638482 = 22499079705134208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66168 + ... + 67751.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2106063848 is an apocalyptic number.

106063848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106063848 is an abundant number, since it is smaller than the sum of its proper divisors (207308952).

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

106063848 is a wasteful number, since it uses less digits than its factorization.

106063848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133942 (or 133935 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106063848 is about 10298.7304071910. The cubic root of 106063848 is about 473.3573515992.

The spelling of 106063848 in words is "one hundred six million, sixty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 133919 267838 401757 535676 803514 1071352 1205271 1473109 1607028 2410542 2946218 3214056 4419327 4821084 5892436 8838654 9642168 11784872 13257981 17677308 26515962 35354616 53031924 106063848