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100092 = 22319439
BaseRepresentation
bin11000011011111100
312002022010
4120123330
511200332
62051220
7564546
oct303374
9162263
10100092
1169223
1249b10
1336735
1428696
151e9cc
hex186fc

100092 has 24 divisors (see below), whose sum is σ = 246400. Its totient is φ = 31536.

The previous prime is 100069. The next prime is 100103. The reversal of 100092 is 290001.

100092 = T93 + T94 + ... + T111.

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.

100092 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 447.

2100092 is an apocalyptic number.

100092 is a gapful number since it is divisible by the number (12) 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 100092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123200).

100092 is an abundant number, since it is smaller than the sum of its proper divisors (146308).

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

100092 is a wasteful number, since it uses less digits than its factorization.

100092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 463 counting only the distinct ones).

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

The square root of 100092 is about 316.3731973477. The cubic root of 100092 is about 46.4301181790.

Adding to 100092 its reverse (290001), we get a palindrome (390093).

It can be divided in two parts, 10009 and 2, that added together give a triangular number (10011 = T141).

The spelling of 100092 in words is "one hundred thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 439 878 1317 1756 2634 5268 8341 16682 25023 33364 50046 100092