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102102000 = 243537111317
BaseRepresentation
bin1100001010111…
…11001111110000
321010010022121120
412011133033300
5202114231000
614044222240
72346565320
oct605371760
9233108546
10102102000
11526a7820
122a23a980
13181cb4b0
14d7bb280
158e6c6a0
hex615f3f0

102102000 has 640 divisors, whose sum is σ = 467970048. Its totient is φ = 18432000.

The previous prime is 102101971. The next prime is 102102019. The reversal of 102102000 is 201201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6005992 + ... + 6006008.

Almost surely, 2102102000 is an apocalyptic number.

102102000 is a gapful number since it is divisible by the number (10) 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 102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

102102000 is an abundant number, since it is smaller than the sum of its proper divisors (365868048).

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

102102000 is a wasteful number, since it uses less digits than its factorization.

102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102102000 is about 10104.5534290240. The cubic root of 102102000 is about 467.3885652405.

Adding to 102102000 its reverse (201201), we get a palindrome (102303201).

The spelling of 102102000 in words is "one hundred two million, one hundred two thousand".