Search a number
-
+
109096100 = 22521967857
BaseRepresentation
bin1101000000010…
…10110010100100
321121021122201022
412200022302210
5210412033400
614454150312
72463205301
oct640126244
9247248638
10109096100
1156644573
1230652398
13197a9b09
14106bc0a8
15989eb85
hex680aca4

109096100 has 72 divisors (see below), whose sum is σ = 253212960. Its totient is φ = 40677120.

The previous prime is 109096093. The next prime is 109096103. The reversal of 109096100 is 1690901.

It is a self number, because there is not a number n which added to its sum of digits gives 109096100.

It is not an unprimeable number, because it can be changed into a prime (109096103) 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, 126872 + ... + 127728.

Almost surely, 2109096100 is an apocalyptic number.

109096100 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 109096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126606480).

109096100 is an abundant number, since it is smaller than the sum of its proper divisors (144116860).

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

109096100 is a wasteful number, since it uses less digits than its factorization.

109096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 109096100 is about 10444.9078502398. The cubic root of 109096100 is about 477.8259609280.

The spelling of 109096100 in words is "one hundred nine million, ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 67 76 95 100 134 190 268 335 380 475 670 857 950 1273 1340 1675 1714 1900 2546 3350 3428 4285 5092 6365 6700 8570 12730 16283 17140 21425 25460 31825 32566 42850 57419 63650 65132 81415 85700 114838 127300 162830 229676 287095 325660 407075 574190 814150 1090961 1148380 1435475 1628300 2181922 2870950 4363844 5454805 5741900 10909610 21819220 27274025 54548050 109096100