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96100 = 2252312
BaseRepresentation
bin10111011101100100
311212211021
4113131210
511033400
62020524
7550114
oct273544
9155737
1096100
1166224
1247744
1334984
1427044
151d71a
hex17764

96100 has 27 divisors (see below), whose sum is σ = 215481. Its totient is φ = 37200.

The previous prime is 96097. The next prime is 96137. The reversal of 96100 is 169.

96100 = T309 + T310.

The square root of 96100 is 310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 61504 = 186^2 + 248^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3085 + ... + 3115.

296100 is an apocalyptic number.

96100 is the 310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96100

96100 is an abundant number, since it is smaller than the sum of its proper divisors (119381).

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

96100 is a wasteful number, since it uses less digits than its factorization.

96100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 96100 is about 45.8044629938.

Multiplying 96100 by its sum of digits (16), we get a square (1537600 = 12402).

Adding to 96100 its reverse (169), we get a palindrome (96269).

Multiplying 96100 by its reverse (169), we get a square (16240900 = 40302).

It can be divided in two parts, 96 and 100, that added together give a square (196 = 142).

The spelling of 96100 in words is "ninety-six thousand, one hundred".