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102262104 = 233271959181
BaseRepresentation
bin1100001100001…
…10010101011000
321010102110020100
412012012111120
5202134341404
614051455400
72351133150
oct606062530
9233373210
10102262104
11527a703a
122a2b7560
1318256329
14d81d760
158e9ed39
hex6186558

102262104 has 192 divisors, whose sum is σ = 340704000. Its totient is φ = 27060480.

The previous prime is 102262073. The next prime is 102262129. The reversal of 102262104 is 401262201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 564894 + ... + 565074.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2102262104 is an apocalyptic number.

102262104 is a gapful number since it is divisible by the number (14) 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 102262104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352000).

102262104 is an abundant number, since it is smaller than the sum of its proper divisors (238441896).

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

102262104 is a wasteful number, since it uses less digits than its factorization.

102262104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102262104 is about 10112.4726946479. The cubic root of 102262104 is about 467.6327383856.

The spelling of 102262104 in words is "one hundred two million, two hundred sixty-two thousand, one hundred four".