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109118916 = 223217412
BaseRepresentation
bin1101000000100…
…00010111000100
321121022211000100
412200100113010
5210413301131
614454444100
72463331644
oct640202704
9247284010
10109118916
115665a725
1230663630
13197b730a
14106c6524
1598a67e6
hex68105c4

109118916 has 27 divisors (see below), whose sum is σ = 275986893. Its totient is φ = 36352080.

The previous prime is 109118899. The next prime is 109118941. The reversal of 109118916 is 619811901.

The square root of 109118916 is 10446.

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., 125316 + 108993600 = 354^2 + 10440^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61806 + ... + 63546.

Almost surely, 2109118916 is an apocalyptic number.

109118916 is the 10446-th square number.

It is an amenable number.

109118916 is an abundant number, since it is smaller than the sum of its proper divisors (166867977).

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

109118916 is an equidigital number, since it uses as much as digits as its factorization.

109118916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The cubic root of 109118916 is about 477.8592689234.

Multiplying 109118916 by its sum of digits (36), we get a square (3928280976 = 626762).

109118916 divided by its sum of digits (36) gives a square (3031081 = 17412).

It can be divided in two parts, 109 and 118916, that added together give a square (119025 = 3452).

The spelling of 109118916 in words is "one hundred nine million, one hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1741 3482 5223 6964 10446 15669 20892 31338 62676 3031081 6062162 9093243 12124324 18186486 27279729 36372972 54559458 109118916