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106602048 = 2633721259
BaseRepresentation
bin1100101101010…
…01111001000000
321102120221112000
412112221321000
5204242231143
614324504000
72433050100
oct626517100
9242527460
10106602048
11551a0773
122b84b000
1319115847
141022d200
15955abd3
hex65a9e40

106602048 has 168 divisors, whose sum is σ = 364845600. Its totient is φ = 30433536.

The previous prime is 106602037. The next prime is 106602059. The reversal of 106602048 is 840206601.

106602048 is a `hidden beast` number, since 10 + 6 + 602 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (106602037) and next prime (106602059).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1066020482 = 22727993275588608, 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 23 ways as a sum of consecutive naturals, for example, 84043 + ... + 85301.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2106602048 is an apocalyptic number.

106602048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

106602048 is an abundant number, since it is smaller than the sum of its proper divisors (258243552).

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

106602048 is a wasteful number, since it uses less digits than its factorization.

106602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106602048 is about 10324.8267782080. The cubic root of 106602048 is about 474.1566538774.

Adding to 106602048 its reverse (840206601), we get a palindrome (946808649).

The spelling of 106602048 in words is "one hundred six million, six hundred two thousand, forty-eight".