Search a number
-
+
100100 = 225271113
BaseRepresentation
bin11000011100000100
312002022102
4120130010
511200400
62051232
7564560
oct303404
9162272
10100100
1169230
1249b18
1336740
14286a0
151e9d5
hex18704

100100 has 72 divisors (see below), whose sum is σ = 291648. Its totient is φ = 28800.

The previous prime is 100069. The next prime is 100103. The reversal of 100100 is 1001.

It is a sliding number, since 100100 = 100 + 100000 and 1/100 + 1/100000 = 0.0100100.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is not an unprimeable number, because it can be changed into a prime (100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7694 + ... + 7706.

2100100 is an apocalyptic number.

100100 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 100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

100100 is an abundant number, since it is smaller than the sum of its proper divisors (191548).

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

100100 is a wasteful number, since it uses less digits than its factorization.

100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 100100 is about 316.3858403911. The cubic root of 100100 is about 46.4313551444.

The spelling of 100100 in words is "one hundred thousand, one hundred", and is thus an iban number.

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100