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102900 = 2235273
BaseRepresentation
bin11001000111110100
312020011010
4121013310
511243100
62112220
7606000
oct310764
9166133
10102900
1170346
124b670
1337ab5
1429700
1520750
hex191f4

102900 has 72 divisors (see below), whose sum is σ = 347200. Its totient is φ = 23520.

The previous prime is 102881. The next prime is 102911. The reversal of 102900 is 9201.

Added to its reverse (9201) it gives a triangular number (112101 = T473).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 14697 + ... + 14703.

2102900 is an apocalyptic number.

102900 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 102900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173600).

102900 is an abundant number, since it is smaller than the sum of its proper divisors (244300).

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

102900 is a wasteful number, since it uses less digits than its factorization.

102900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 102900 is about 320.7802986469. The cubic root of 102900 is about 46.8603065058.

Adding to 102900 its reverse (9201), we get a triangular number (112101 = T473).

The spelling of 102900 in words is "one hundred two thousand, nine hundred".